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Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as Geometry. Papers on this page are organised in collections from 51- through 51P, although not all collections may have papers published in that area at this time. Visit the MSC2010 database from MathScinet for a full list of codes.

Jump to the following areas

51-XX: Geometry 51Axx: Linear incidence geometry 51Bxx: Nonlinear incidence geometry 51Cxx: Ring geometry (Hjelmslev, Barbilian, etc.) 51Dxx: Geometric closure systems 51Exx: Finite geometry and special incidence structures 51Fxx: Metric geometry 51Gxx: Ordered geometries (ordered incidence structures, etc.) 51Hxx: Topological geometry 51Jxx: Incidence groups 51Kxx: Distance geometry 51Lxx: Geometric order structures 51Mxx: Real and complex geometry 51Nxx: Analytic and descriptive geometry 51Pxx: Geometry and physics

Geometry (51-XX)

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Article
$\mathbf {5 \times 5}$-graded Lie algebras, cubic norm structures and quadrangular algebras
Tom De Medts, Jeroen Meulewaeter
Forum of Mathematics, Sigma, Volume 13

Article
AN INCIDENCE RESULT FOR WELL-SPACED ATOMS IN ALL DIMENSIONS
PETER J. BRADSHAW
Journal of the Australian Mathematical Society, Volume 115, Issue 1

Article
Geometric versions of Schwarz’s lemma for spherically convex functions
Maria Kourou, Oliver Roth
Canadian Journal of Mathematics, Volume 75, Issue 6

Article
The pentagram map, Poncelet polygons, and commuting difference operators
Anton Izosimov
Compositio Mathematica, Volume 158, Issue 5

Article
ON THE PRODUCT OF ELEMENTS WITH PRESCRIBED TRACE
JOHN SHEEKEY, GEERTRUI VAN DE VOORDE, JOSÉ FELIPE VOLOCH
Journal of the Australian Mathematical Society, Volume 112, Issue 2

Article
COVERS OF GENERALIZED QUADRANGLES
JOSEPH A. THAS, KOEN THAS
Glasgow Mathematical Journal, Volume 60, Issue 3

Article
A COMBINATORIAL CHARACTERIZATION OF THE LAGRANGIAN GRASSMANNIAN LG(3,6)(${\mathbb{K}}$)
J. SCHILLEWAERT, H. VAN MALDEGHEM
Glasgow Mathematical Journal, Volume 58, Issue 2

Article
THEOREMS OF POINTS AND PLANES IN THREE-DIMENSIONAL PROJECTIVE SPACE
DAVID G. GLYNN
Journal of the Australian Mathematical Society, Volume 88, Issue 1

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Linear incidence geometry (51Axx)

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Article
$\mathbf {5 \times 5}$-graded Lie algebras, cubic norm structures and quadrangular algebras
Tom De Medts, Jeroen Meulewaeter
Forum of Mathematics, Sigma, Volume 13

Article
AN INCIDENCE RESULT FOR WELL-SPACED ATOMS IN ALL DIMENSIONS
PETER J. BRADSHAW
Journal of the Australian Mathematical Society, Volume 115, Issue 1

Article
Geometric versions of Schwarz’s lemma for spherically convex functions
Maria Kourou, Oliver Roth
Canadian Journal of Mathematics, Volume 75, Issue 6

Article
The pentagram map, Poncelet polygons, and commuting difference operators
Anton Izosimov
Compositio Mathematica, Volume 158, Issue 5

Article
ON THE PRODUCT OF ELEMENTS WITH PRESCRIBED TRACE
JOHN SHEEKEY, GEERTRUI VAN DE VOORDE, JOSÉ FELIPE VOLOCH
Journal of the Australian Mathematical Society, Volume 112, Issue 2

Article
COVERS OF GENERALIZED QUADRANGLES
JOSEPH A. THAS, KOEN THAS
Glasgow Mathematical Journal, Volume 60, Issue 3

Article
A COMBINATORIAL CHARACTERIZATION OF THE LAGRANGIAN GRASSMANNIAN LG(3,6)(${\mathbb{K}}$)
J. SCHILLEWAERT, H. VAN MALDEGHEM
Glasgow Mathematical Journal, Volume 58, Issue 2

Article
THEOREMS OF POINTS AND PLANES IN THREE-DIMENSIONAL PROJECTIVE SPACE
DAVID G. GLYNN
Journal of the Australian Mathematical Society, Volume 88, Issue 1

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Nonlinear incidence geometry (51Bxx)

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Article
Automorphisms and opposition in spherical buildings of exceptional type, I
James Parkinson, Hendrik Van Maldeghem
Canadian Journal of Mathematics, Volume 74, Issue 6

Article
On exceptional Lie geometries
Anneleen De Schepper, Jeroen Schillewaert, Hendrik Van Maldeghem, Magali Victoor
Forum of Mathematics, Sigma, Volume 9

Article
Möbius automorphisms of surfaces with many circles
Niels Lubbes
Canadian Journal of Mathematics, Volume 74, Issue 1

Article
A FAMILY OF TWO-DIMENSIONAL LAGUERRE PLANES OF KLEINEWILLINGHÖFER TYPE II.A.2
GÜNTER F. STEINKE
Journal of the Australian Mathematical Society, Volume 105, Issue 3

Article
COVERS OF GENERALIZED QUADRANGLES
JOSEPH A. THAS, KOEN THAS
Glasgow Mathematical Journal, Volume 60, Issue 3

Article
The inner and outer space of 2-dimensional Laguerre planes
B. Polster, G. F. Steinke
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, Volume 62, Issue 1

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Ring geometry (Hjelmslev, Barbilian, etc.) (51Cxx)

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Geometric closure systems (51Dxx)

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Article
Combinatorial and harmonic-analytic methods for integer tilings
Izabella Łaba, Itay Londner
Forum of Mathematics, Pi, Volume 10

Article
Lattice isomorphisms between projection lattices of von Neumann algebras
Michiya Mori
Forum of Mathematics, Sigma, Volume 8

Article
SYMMETRY GEOMETRY BY PAIRINGS
G. CHIASELOTTI, T. GENTILE, F. INFUSINO
Journal of the Australian Mathematical Society, Volume 106, Issue 3

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Finite geometry and special incidence structures (51Exx)

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Article
A question of Frohardt on $2$-groups, skew translation quadrangles of even order and cyclic STGQs
Koen Thas
Forum of Mathematics, Sigma, Volume 11

Article
Isogeny graphs on superspecial abelian varieties: eigenvalues and connection to Bruhat–Tits buildings
Yusuke Aikawa, Ryokichi Tanaka, Takuya Yamauchi
Canadian Journal of Mathematics, Volume 76, Issue 6

Article
Erdős–Ko–Rado theorem in Peisert-type graphs
Chi Hoi Yip
Canadian Mathematical Bulletin, Volume 67, Issue 1

Article
Automorphisms and opposition in spherical buildings of exceptional type, I
James Parkinson, Hendrik Van Maldeghem
Canadian Journal of Mathematics, Volume 74, Issue 6

Article
On exceptional Lie geometries
Anneleen De Schepper, Jeroen Schillewaert, Hendrik Van Maldeghem, Magali Victoor
Forum of Mathematics, Sigma, Volume 9

Article
STRONGLY MINIMAL STEINER SYSTEMS I: EXISTENCE
JOHN BALDWIN, GIANLUCA PAOLINI
The Journal of Symbolic Logic, Volume 86, Issue 4

Article
ON THE PRODUCT OF ELEMENTS WITH PRESCRIBED TRACE
JOHN SHEEKEY, GEERTRUI VAN DE VOORDE, JOSÉ FELIPE VOLOCH
Journal of the Australian Mathematical Society, Volume 112, Issue 2

Article
On sets of points with few odd secants
Simeon Ball, Bence Csajbók
Combinatorics, Probability and Computing, Volume 29, Issue 1

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Metric geometry (51Fxx)

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Article
Proper minor-closed classes of graphs have Assouad–Nagata dimension 2
Marc Distel
Combinatorics, Probability and Computing, Volume 35, Issue 1

Article
Sub-actions for geodesic flows on locally CAT($-1$) spaces
DAVID CONSTANTINE, ELVIN SHRESTHA, YANDI WU
Ergodic Theory and Dynamical Systems, Volume 45, Issue 12

Article
On Growth Functions of Coxeter Groups
Sebastian Bischof
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 3

Article
On exterior powers of reflection representations, II
Hongsheng Hu
Canadian Journal of Mathematics, First View

Article
On a general matrix-valued unbalanced optimal transport problem
Bowen Li, Jun Zou
European Journal of Applied Mathematics, Volume 36, Issue 6

Article
GV and GW invariants via the enhanced movable cone
Navid Nabijou, Michael Wemyss
Moduli, Volume 1

Article
Stereographic compactification and affine bi-Lipschitz homeomorphisms
Vincent Grandjean, Roger Oliveira
Glasgow Mathematical Journal, Volume 66, Issue 3

Article
ON EXTERIOR POWERS OF REFLECTION REPRESENTATIONS
HONGSHENG HU
Bulletin of the Australian Mathematical Society, Volume 110, Issue 1

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Ordered geometries (ordered incidence structures, etc.) (51Gxx)

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Article
Positivity and representations of surface groups
Olivier Guichard, François Labourie, Anna Wienhard
Forum of Mathematics, Pi, Volume 14

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Topological geometry (51Hxx)

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Article
A FAMILY OF TWO-DIMENSIONAL LAGUERRE PLANES OF KLEINEWILLINGHÖFER TYPE II.A.2
GÜNTER F. STEINKE
Journal of the Australian Mathematical Society, Volume 105, Issue 3

Article
AN EQUIVARIANT DESCRIPTION OF CERTAIN HOLOMORPHIC SYMPLECTIC VARIETIES
PETER CROOKS
Bulletin of the Australian Mathematical Society, Volume 97, Issue 2

Article
A FLAT LAGUERRE PLANE OF KLEINEWILLINGHÖFER TYPE V
JEROEN SCHILLEWAERT, GÜNTER F. STEINKE
Journal of the Australian Mathematical Society, Volume 91, Issue 2

Article
Yet another Poincaré Polyhedron Theorem
Sasha Anan'in, Carlos H. Grossi
Proceedings of the Edinburgh Mathematical Society, Volume 54, Issue 2

Article
The inner and outer space of 2-dimensional Laguerre planes
B. Polster, G. F. Steinke
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, Volume 62, Issue 1

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Incidence groups (51Jxx)

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Distance geometry (51Kxx)

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Article
Forman–Ricci communicability curvature of graphs and networks
Ernesto Estrada
European Journal of Applied Mathematics, Volume 36, Issue 6

Article
Families of similar simplices inscribed in most smoothly embedded spheres
Jason Cantarella, Elizabeth Denne, John McCleary
Forum of Mathematics, Sigma, Volume 10

Article
Globally rigid graphs are fully reconstructible
Dániel Garamvölgyi, Steven J. Gortler, Tibor Jordán
Forum of Mathematics, Sigma, Volume 10

Article
GENERIC UNLABELED GLOBAL RIGIDITY
STEVEN J. GORTLER, LOUIS THERAN, DYLAN P. THURSTON
Forum of Mathematics, Sigma, Volume 7

Article
A COUNTEREXAMPLE TO A CONJECTURE OF LARMAN AND ROGERS ON SETS AVOIDING DISTANCE 1
Fernando Mário de Oliveira Filho, Frank Vallentin
Mathematika, Volume 65, Issue 3

Article
A NOTE ON COMPUTING THE INTERSECTION OF SPHERES IN $\mathbb{R}^{n}$
D. S. MAIOLI, C. LAVOR, D. S. GONÇALVES
The ANZIAM Journal, Volume 59, Issue 2

Article
Ramification conjecture and Hirzebruch’s property of line arrangements
D. Panov, A. Petrunin
Compositio Mathematica, Volume 152, Issue 12

Article
THE METRIC DIMENSION OF METRIC MANIFOLDS
MAJID HEYDARPOUR, SAEID MAGHSOUDI
Bulletin of the Australian Mathematical Society, Volume 91, Issue 3

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Geometric order structures (51Lxx)

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Real and complex geometry (51Mxx)

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Article
A NOTE ON THE PLANAR SKOROKHOD EMBEDDING PROBLEM
MAHER BOUDABRA
Bulletin of the Australian Mathematical Society, First View

Article
Graphical sequences and plane trees
Michal Bassan, Serte Donderwinkel, Brett Kolesnik
Combinatorics, Probability and Computing, First View

Article
SIAMESE NETWORKS FOR POINCARÉ EMBEDDINGS AND THE RECONSTRUCTION OF EVOLUTIONARY TREES
CIRO CARVALLO, HERNÁN BOCACCIO, GABRIEL B. MINDLIN, PABLO GROISMAN
The ANZIAM Journal, Volume 67

Article
On the perimeter, diameter and circumradius of ordinary hyperbolic reduced polygons
Ádám Sagmeister
Canadian Mathematical Bulletin, Volume 68, Issue 3

Article
BOTT MANIFOLDS WITH VANISHING FUTAKI INVARIANTS FOR ALL KAHLER CLASSES
HAJIME ONO, YUJI SANO, NAOTO YOTSUTANI
Nagoya Mathematical Journal, Volume 259

Article
Tilings of the hyperbolic space and Lipschitz functions
Christian Bargetz, Franz Luggin, Tommaso Russo
Canadian Journal of Mathematics, Volume 77, Issue 6

Article
Examples of hyperbolic spaces without the properties of quasi-ball or bounded eccentricity
Qizheng You, Jiawen Zhang
Glasgow Mathematical Journal, Volume 66, Issue 2

Article
Joint partial equidistribution of Farey rays in negatively curved manifolds and trees
JOUNI PARKKONEN, FRÉDÉRIC PAULIN
Ergodic Theory and Dynamical Systems, Volume 44, Issue 9

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Analytic and descriptive geometry (51Nxx)

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Article
Special homogeneous surfaces
DAVID LINDEMANN, ANDREW SWANN
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 177, Issue 2

Article
NORMALISED TANGENT BUNDLE, VARIETIES WITH SMALL CODEGREE AND PSEUDOEFFECTIVE THRESHOLD
Baohua Fu, Jie Liu
Journal of the Institute of Mathematics of Jussieu, Volume 23, Issue 1

Article
Möbius automorphisms of surfaces with many circles
Niels Lubbes
Canadian Journal of Mathematics, Volume 74, Issue 1

Article
PRODUCTS OF ROTATIONS BY A GIVEN ANGLE IN THE ORTHOGONAL GROUP
M. G. MAHMOUDI
Bulletin of the Australian Mathematical Society, Volume 97, Issue 2

Article
EXTREMAL PERIMETERS OF QUADRANGLES IN THE PONCELET PORISM
WALDEMAR CIEŚLAK, WITOLD MOZGAWA
Bulletin of the Australian Mathematical Society, Volume 91, Issue 3

Article
Castelnuovo bounds for higher-dimensional varieties
F. L. Zak
Compositio Mathematica, Volume 148, Issue 4

Article
Distances between censored intersections between a square lattice and a random smooth path
A. V. Wheelwright, C. A. Glasbey
Journal of Applied Probability, Volume 30, Issue 1

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Geometry and physics (51Pxx)

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Article
Convergence of the gradient flow of renormalized volume to convex cores with totally geodesic boundary
Martin Bridgeman, Kenneth Bromberg, Franco Vargas Pallete
Compositio Mathematica, Volume 159, Issue 4

Article
DETERMINATION OF JOIN REGIONS BETWEEN CARBON NANOSTRUCTURES USING VARIATIONAL CALCULUS
D. BAOWAN, B. J. COX, J. M. HILL
The ANZIAM Journal, Volume 54, Issue 4

Article
POLYHEDRAL MODELS AND GEOMETRIC STRUCTURES FOR NANOTUBES
RICHARD K. F. LEE
Bulletin of the Australian Mathematical Society, Volume 83, Issue 3

Article
MATHEMATICAL MODELLING OF NANOSTRUCTURES
DUANGKAMON BAOWAN
Bulletin of the Australian Mathematical Society, Volume 78, Issue 2

Article
Mathematical modelling of nano-scaled structures, devices and materials
BARRY JAMES COX
Bulletin of the Australian Mathematical Society, Volume 77, Issue 2

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MSC 2010: Geometry

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Geometry (51-XX)

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Linear incidence geometry (51Axx)

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Nonlinear incidence geometry (51Bxx)

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Ring geometry (Hjelmslev, Barbilian, etc.) (51Cxx)

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Geometric closure systems (51Dxx)

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Finite geometry and special incidence structures (51Exx)

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Metric geometry (51Fxx)

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Ordered geometries (ordered incidence structures, etc.) (51Gxx)

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Topological geometry (51Hxx)

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Incidence groups (51Jxx)

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Distance geometry (51Kxx)

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Geometric order structures (51Lxx)

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Real and complex geometry (51Mxx)

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Analytic and descriptive geometry (51Nxx)

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Geometry and physics (51Pxx)

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