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Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as Global Analysis, Analysis on Manifolds. Papers on this page are organised in collections from 58- through 58Z, 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

58-XX: Global analysis, analysis on manifolds 58Axx: General theory of differentiable manifolds 58Bxx: Infinite-dimensional manifolds 58Cxx: Calculus on manifolds; nonlinear operators 58Dxx: Spaces and manifolds of mappings 58Exx: Variational problems in infinite-dimensional spaces 58Hxx: Pseudogroups, differentiable groupoids and general structures on manifolds 58Jxx: Partial differential equations on manifolds; differential operators 58Kxx: Theory of singularities and catastrophe theory 58Zxx: Applications to physics

Global analysis, analysis on manifolds (58-XX)

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Article
Open problems and questions about geodesics
KEITH BURNS, VLADIMIR S. MATVEEV
Ergodic Theory and Dynamical Systems, Volume 41, Issue 3

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General theory of differentiable manifolds (58Axx)

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Article
ZETA INVARIANTS OF MORSE FORMS
Jesús A. Álvarez López, Yuri A. Kordyukov, Eric Leichtnam
Journal of the Institute of Mathematics of Jussieu, Volume 24, Issue 2

Article
Projectively and affinely invariant PDEs on hypersurfaces
Dmitri Alekseevsky, Gianni Manno, Giovanni Moreno
Proceedings of the Edinburgh Mathematical Society, Volume 67, Issue 3

Article
The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators
Adrien Laurent, Robert I. McLachlan, Hans Z. Munthe-Kaas, Olivier Verdier
Forum of Mathematics, Sigma, Volume 11

Article
Involutivity of distributions at points of superdense tangency with respect to normal currents
Silvano Delladio
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 2

Article
LINES ON HOLOMORPHIC CONTACT MANIFOLDS AND A GENERALIZATION OF $(2,3,5)$-DISTRIBUTIONS TO HIGHER DIMENSIONS
JUN-MUK HWANG, QIFENG LI
Nagoya Mathematical Journal, Volume 251

Article
O-minimal de Rham Cohomology
Rodrigo Figueiredo
Bulletin of Symbolic Logic, Volume 28, Issue 4

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

Article
Nontame Morse–Smale flows and odd Chern–Weil theory
Daniel Cibotaru, Wanderley Pereira
Canadian Journal of Mathematics, Volume 74, Issue 6

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Infinite-dimensional manifolds (58Bxx)

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Article
KMS states on uniform Roe algebras
Bruno M. Braga, Ruy Exel
Canadian Mathematical Communications, Volume 1

Article
On a general matrix-valued unbalanced optimal transport problem
Bowen Li, Jun Zou
European Journal of Applied Mathematics, First View

Article
Crossed products as compact quantum metric spaces
Mario Klisse
Canadian Journal of Mathematics, First View

Article
Rigidity of flat holonomies
GÉRARD BESSON, GILLES COURTOIS, SA’AR HERSONSKY
Ergodic Theory and Dynamical Systems, Volume 45, Issue 4

Article
Optimization of the anisotropic Cheeger constant with respect to the anisotropy
Enea Parini, Giorgio Saracco
Canadian Mathematical Bulletin, Volume 66, Issue 3

Article
On the classification and description of quantum lens spaces as graph algebras
Thomas Gotfredsen, Sophie Emma Zegers
Canadian Journal of Mathematics, Volume 76, Issue 1

Article
THE RESOLVENT AND RIESZ TRANSFORM ON CONNECTED SUMS OF MANIFOLDS WITH DIFFERENT ASYMPTOTIC DIMENSIONS
DANIEL NIX
Bulletin of the Australian Mathematical Society, Volume 104, Issue 2

Article
Every symplectic manifold is a (linear) coadjoint orbit
Paul Donato, Patrick Iglesias-Zemmour
Canadian Mathematical Bulletin, Volume 65, Issue 2

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Calculus on manifolds; nonlinear operators (58Cxx)

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Article
Sharp Hardy and spectral gap inequalities on special irreversible Finsler manifolds
Sándor Kajántó
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Characters and transfer maps via categorified traces
Shachar Carmeli, Bastiaan Cnossen, Maxime Ramzi, Lior Yanovski
Forum of Mathematics, Sigma, Volume 13

Article
Spectral ratios and gaps for Steklov eigenvalues of balls with revolution-type metrics
Jade Brisson, Bruno Colbois, Katie Gittins
Canadian Mathematical Bulletin, Volume 68, Issue 2

Article
Gassmann triples with special cycle types and applications
Holger Kammeyer, Steffen Kionke
Proceedings of the Edinburgh Mathematical Society, Volume 67, Issue 4

Article
JARNÍK TYPE THEOREMS ON MANIFOLDS
MUMTAZ HUSSAIN, JOHANNES SCHLEISCHITZ
Bulletin of the Australian Mathematical Society, Volume 108, Issue 3

Article
REILLY-TYPE UPPER BOUNDS FOR THE p-STEKLOV PROBLEM ON SUBMANIFOLDS
JULIEN ROTH, ABHITOSH UPADHYAY
Bulletin of the Australian Mathematical Society, Volume 108, Issue 3

Article
Equivariant Brill–Noether theory for elliptic operators and superrigidity of J-holomorphic maps
Aleksander Doan, Thomas Walpuski
Forum of Mathematics, Sigma, Volume 11

Article
A NEW HIGHER ORDER YANG–MILLS–HIGGS FLOW ON RIEMANNIAN $4$-MANIFOLDS
HEMANTH SARATCHANDRAN, JIAOGEN ZHANG, PAN ZHANG
Bulletin of the Australian Mathematical Society, Volume 107, Issue 2

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Spaces and manifolds of mappings (58Dxx)

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Article
Characteristic numbers of manifold bundles over spheres and positive curvature via block bundles
Georg Frenck, Jens Reinhold
Forum of Mathematics, Sigma, Volume 13

Article
On the finiteness of the classifying space of diffeomorphisms of reducible three manifolds
Sam Nariman
Forum of Mathematics, Sigma, Volume 13

Article
Invariant divisors and equivariant line bundles
Boris Kruglikov, Eivind Schneider
Forum of Mathematics, Sigma, Volume 13

Article
Graphing, homotopy groups of spheres, and spaces of long links and knots
Robin Koytcheff
Forum of Mathematics, Sigma, Volume 13

Article
The Disc-structure space
Manuel Krannich, Alexander Kupers
Forum of Mathematics, Pi, Volume 12

Article
PL homeomorphisms of surfaces and codimension 2 PL foliations
Sam Nariman
Compositio Mathematica, Volume 160, Issue 11

Article
Volume and Euler classes in bounded cohomology of transformation groups
Michael Brandenbursky, Michał Marcinkowski
Glasgow Mathematical Journal, Volume 67, Issue 1

Article
Weighted nonlinear flag manifolds as coadjoint orbits
Stefan Haller, Cornelia Vizman
Canadian Journal of Mathematics, Volume 76, Issue 5

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Variational problems in infinite-dimensional spaces (58Exx)

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Article
Variational method for fractional Hamiltonian system in bounded domain
Weimin Zhang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Lower bounds on density for topologically nontrivial minimal cones up to dimension six
Jacob Bernstein, Lu Wang
Forum of Mathematics, Sigma, Volume 13

Article
Asymptotic behaviour of large-scale solutions of Hitchin’s equations in higher rank
Takuro Mochizuki, Szilárd Szabó
Moduli, Volume 2

Article
Rational ellipticity of G-manifolds from their quotients
Elahe Khalili Samani, Marco Radeschi
Compositio Mathematica, Volume 161, Issue 2

Article
Concentration and multiplicity of solutions for fractional double phase problems
Youpei Zhang, Vicenţiu D Rădulescu, Jing Chen, Dongdong Qin
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Hilbert direct integrals of monotone operators
Minh N. Bùi, Patrick L. Combettes
Canadian Journal of Mathematics, Volume 77, Issue 4

Article
Multiplicity of positive solutions for a class of nonhomogeneous elliptic equations in the hyperbolic space
Debdip Ganguly, Diksha Gupta, K. Sreenadh
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
On the existence of baby skyrmions stabilized by vector mesons
Carlo Greco
Proceedings of the Edinburgh Mathematical Society, Volume 66, Issue 1

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Pseudogroups, differentiable groupoids and general structures on manifolds (58Hxx)

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Article
EQUIVARIANT ALGEBRAIC INDEX THEOREM
Alexander Gorokhovsky, Niek de Kleijn, Ryszard Nest
Journal of the Institute of Mathematics of Jussieu, Volume 20, Issue 3

Article
LIE ALGEBROIDS AS $L_{\infty }$ SPACES
Ryan Grady, Owen Gwilliam
Journal of the Institute of Mathematics of Jussieu, Volume 19, Issue 2

Article
FUNCTORIAL ASPECTS OF THE RECONSTRUCTION OF LIE GROUPOIDS FROM THEIR BISECTIONS
ALEXANDER SCHMEDING, CHRISTOPH WOCKEL
Journal of the Australian Mathematical Society, Volume 101, Issue 2

Article
GROUP FOLIATION OF DIFFERENTIAL EQUATIONS USING MOVING FRAMES
ROBERT THOMPSON, FRANCIS VALIQUETTE
Forum of Mathematics, Sigma, Volume 3

Article
Simultaneous deformations and Poisson geometry
Yaël Frégier, Marco Zambon
Compositio Mathematica, Volume 151, Issue 9

Article
Characterisation theorems for compact hypercomplex manifolds
S. Nag, J. A. Hillman, B. Datta
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, Volume 43, Issue 2

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Partial differential equations on manifolds; differential operators (58Jxx)

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Article
Sharp Hardy and spectral gap inequalities on special irreversible Finsler manifolds
Sándor Kajántó
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Existence of ground states for free energies on the hyperbolic space
José Antonio Carrillo, Razvan Fetecau, Hansol Park
Canadian Journal of Mathematics, First View

Article
Collapsing immortal Kähler-Ricci flows
Hans-Joachim Hein, Man-Chun Lee, Valentino Tosatti
Forum of Mathematics, Pi, Volume 13

Article
Correspondence between Pestov and Weitzenböck identities
MIHAJLO CEKIĆ, THIBAULT LEFEUVRE, ANDREI MOROIANU, UWE SEMMELMANN
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 178, Issue 3

Article
Relative quantum cohomology of the Chiang Lagrangian
Anna Hollands, Elad Kosloff, May Sela, Qianyi Shu, Jake P. Solomon
Forum of Mathematics, Sigma, Volume 13

Article
Elliptic Pre-Complexes, Hodge-like Decompositions and Overdetermined Boundary-Value Problems
Raz Kupferman, Roee Leder
Forum of Mathematics, Sigma, Volume 13

Article
Continuous in time bubble decomposition for the harmonic map heat flow
Jacek Jendrej, Andrew Lawrie, Wilhelm Schlag
Forum of Mathematics, Pi, Volume 13

Article
Generalised Dirac-Schrödinger operators and the Callias Theorem
Koen van den Dungen
Forum of Mathematics, Sigma, Volume 13

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Theory of singularities and catastrophe theory (58Kxx)

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Article
Isotypical components of the homology of ICIS and images of deformations of map germs
R. Giménez Conejero
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Global index of real polynomials
Gabriel E. Monsalve, Mihai Tibăr
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Deformations of corank 1 frontals
C. Muñoz-Cabello, J. J. Nuño-Ballesteros, R. Oset Sinha
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 4

Article
On k-folding map-germs and hidden symmetries of surfaces in the Euclidean 3-space
Guillermo Peñafort Sanchis, Farid Tari
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 1

Article
Singularities of 3-parameter line congruences in $\mathbb {R}^{4}$
Débora Lopes, Maria Aparecida Soares Ruas, Igor Chagas Santos
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 153, Issue 3

Article
On the Fukui–Kurdyka–Paunescu conjecture
Alexandre Fernandes, Zbigniew Jelonek, José Edson Sampaio
Compositio Mathematica, Volume 158, Issue 6

Article
The dual tree of a fold map germ from $\mathbb {R}^{3}$ to $\mathbb {R}^{4}$
J.A. Moya-Pérez, J.J. Nuño-Ballesteros
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 153, Issue 3

Article
Qualitative properties of singular solutions to fractional elliptic equations
Shuibo Huang, Zhitao Zhang, Zhisu Liu
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 152, Issue 5

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Applications to physics (58Zxx)

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MSC 2010: Global analysis, analysis on manifolds

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Global analysis, analysis on manifolds (58-XX)

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General theory of differentiable manifolds (58Axx)

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Infinite-dimensional manifolds (58Bxx)

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Calculus on manifolds; nonlinear operators (58Cxx)

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Spaces and manifolds of mappings (58Dxx)

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Variational problems in infinite-dimensional spaces (58Exx)

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Pseudogroups, differentiable groupoids and general structures on manifolds (58Hxx)

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Partial differential equations on manifolds; differential operators (58Jxx)

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Theory of singularities and catastrophe theory (58Kxx)

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Applications to physics (58Zxx)

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