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Subjects
57-XX Manifolds and cell complexes
57Rxx Differential topology
57R70 Critical points and critical submanifolds

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Displaying 1 – 20 of 76

A characterization of the disc $D^{n}$

Th. Friedrich (1974)

Colloquium Mathematicae

A Class of Elliptic Partial Differential Equations with Exponential Nonlinearities.

Pierre A. Vuillermot (1984)

Mathematische Annalen

A Deformation Lemma on a C1 manifold.

Alexis Bonnet (1993)

Manuscripta mathematica

A proof of Reidemeister-Singer’s theorem by Cerf’s methods

François Laudenbach (2014)

Annales de la faculté des sciences de Toulouse Mathématiques

Heegaard splittings and Heegaard diagrams of a closed 3-manifold $M$ are translated into the language of Morse functions with Morse-Smale pseudo-gradients defined on $M$ . We make use in a very simple setting of techniques which Jean Cerf developed for solving a famous pseudo-isotopy problem. In passing, we show how to cancel the supernumerary local extrema in a generic path of functions when $dim M > 2$ . The main tool that we introduce is an elementary swallow tail lemma which could be useful elsewhere.

A user's guide to discrete Morse theory.

Forman, Robin (2002)

Séminaire Lotharingien de Combinatoire [electronic only]

Bifurcations and Hamilton's Principle.

Alan Weinstein (1978)

Mathematische Zeitschrift

Circle-valued Morse theory and Reidemeister torsion.

Hutchings, Michael, Lee, Yi-Jen (1999)

Geometry & Topology

Classification des germes à point critique isolé et à nombres de modules 0 ou 1

Michel Demazure (1973/1974)

Séminaire Bourbaki

Closed Geodesics on Homogeneous Spaces.

Wolfgang Ziller (1976/1977)

Mathematische Zeitschrift

Continuous mappings with an infinite number of topologically critical points

Cornel Pintea (1997)

Annales Polonici Mathematici

We prove that the topological φ-category of a pair (M,N) of topological manifolds is infinite if the algebraic φ-category of the pair of fundamental groups (π₁(M),π₁(N)) is infinite. Some immediate consequences of this fact are also pointed out.

Controlled connectivity of closed 1-forms.

Schütz, D. (2002)

Algebraic & Geometric Topology

Convex functions on complete noncompact manifolds : differentiable structure

R. E. Greene, K. Shiohama (1981)

Annales scientifiques de l'École Normale Supérieure

Coordinate morse theory.

John R. Klein (1991)

Manuscripta mathematica

Critical point theory with symmetries.

Dieter Puppe, Mónica Clapp (1991)

Journal für die reine und angewandte Mathematik

Critical sets in 3-space

Matthew Grayson, Charles Pugh (1993)

Publications Mathématiques de l'IHÉS

Critical sets of 2-dimensional compact manifolds.

Ţopan, Liana (2003)

Balkan Journal of Geometry and its Applications (BJGA)

Degenerate critical points, homotopy indices and Morse inequalities.

E.N. Dancer (1984)

Journal für die reine und angewandte Mathematik

Density and stability of Morse functions on a stratified space

Roberto Pignoni (1979)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Differential Topology and the Computation of Total Absolute Curvature.

Eberhard Teufel (1981)

Mathematische Annalen

Ein Lefschetz-Satz für Schnitte in projektivalgebraischen Mannigfaltigkeiten.

Mathias Peternell (1983)

Mathematische Annalen

Currently displaying 1 – 20 of 76

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