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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
A note on the Maxwell’s eigenvalues on thin sets
Francesco Ferraresso, Luigi Provenzano
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Towards Riemannian diffeology
Katsuhiko Kuribayashi, Keiichi Sakai, Yusuke Shiobara
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

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

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Infinite-dimensional manifolds (58Bxx)

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Article
Towards Riemannian diffeology
Katsuhiko Kuribayashi, Keiichi Sakai, Yusuke Shiobara
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
TRACE FORMULAS IN NONCOMMUTATIVE GEOMETRY
E.-M. HEKKELMAN
Bulletin of the Australian Mathematical Society, Volume 113, Issue 1

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, Volume 36, Issue 6

Article
Crossed products as compact quantum metric spaces
Mario Klisse
Canadian Journal of Mathematics, Volume 78, Issue 1

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

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Calculus on manifolds; nonlinear operators (58Cxx)

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Article
Complete regularity of linear cocycles and the Baire category of the set of Lyapunov-Perron regular points
Jairo Bochi, Yakov Pesin, Omri Sarig
Forum of Mathematics, Sigma, Volume 14

Article
Some new functionals related to free boundary minimal submanifolds
Tianyu Ma, Vladimir Medvedev
Canadian Journal of Mathematics, First View

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

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Spaces and manifolds of mappings (58Dxx)

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Article
Moduli space theory for complete, constant Q-curvature metrics on finitely punctured spheres
Rayssa Caju, Jesse Ratzkin, Almir Silva Santos
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

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

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Variational problems in infinite-dimensional spaces (58Exx)

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Article
Some new functionals related to free boundary minimal submanifolds
Tianyu Ma, Vladimir Medvedev
Canadian Journal of Mathematics, First View

Article
On the string topology of symmetric spaces of higher rank
Philippe Kupper, Maximilian Stegemeyer
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
The boundary value problem for triholomorphic maps
He Zhang, Miaomiao Zhu
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Perturbed cone theorems for proper harmonic maps
Renan Assimos, Balázs Márk Békési, Giuseppe Gentile
Canadian Mathematical Bulletin, First View

Article
Optimal boundary regularity of proper harmonic maps between asymptotically hyperbolic spaces
Jingru Niu
Canadian Journal of Mathematics, First View

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

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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
A note on the Maxwell’s eigenvalues on thin sets
Francesco Ferraresso, Luigi Provenzano
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
TOPOLOGY OF THE DIRAC EQUATION ON SPECTRALLY LARGE THREE-MANIFOLDS
Francesco Lin
Journal of the Institute of Mathematics of Jussieu, First View

Article
Nonlinear stability of extremal Reissner–Nordström black holes in spherical symmetry
Yannis Angelopoulos, Christoph Kehle, Ryan Unger
Forum of Mathematics, Pi, Volume 14

Article
Rigidity for the heat equation with density on Riemannian manifolds through a conformal change
Alexander Grigor’yan, Giulia Meglioli, Alberto Roncoroni
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Competition of small targets in planar domains: from Dirichlet to Robin and Steklov boundary condition
Denis S. Grebenkov, Michael Jeffrey Ward
European Journal of Applied Mathematics, First View

Article
Multipeak solutions for fractional elliptic equations on conformal infinities
Yuan Gao, Yuxia Guo, Ning Zhou
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Intrinsic stochastic differential equations and the extended Itô formula on manifolds
Sumit Suthar, Soumyendu Raha
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Sharp bounds for higher Steklov–Dirichlet eigenvalues on domains with spherical holes
Sagar Basak, Anisa Chorwadwala, Sheela Verma
Canadian Mathematical Bulletin, First View

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Theory of singularities and catastrophe theory (58Kxx)

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Article
A characterization of quasi-homogeneity in terms of liftable vector fields
Ignacio Breva Ribes, Raúl Oset Sinha
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Double points and image of reflection maps
José Borges-Zampiva, Bruna Oréfice-Okamoto, Guillermo Peñafort Sanchis, João N. Tomazella
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
On the non-properness set of a local homeomorphism
Francisco Braun, Luis Renato Gonçalves Dias, Jean Venato-Santos
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

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, Volume 155, Issue 6

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

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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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