Topologically non-degenerate functions on a compact \(n\)-manifold \(M\)

DOI10.1007/BF02787685zbMath0096.30603OpenAlexW2020042786WikidataQ105532209 ScholiaQ105532209MaRDI QIDQ773233

Marston Morse

Publication date: 1959

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02787685

zbMATH Keywords

variational calculus

Related Items (13)

Elementary Quotients of Abelian Groups, and Singular Homology on Manifolds ⋮ Singularities of piecewise linear mappings. I Mappings into the real line ⋮ Criterion for the existence of an energy function for a regular homeomorphism of the 3-sphere ⋮ A Morse energy function for topological flows with finite hyperbolic chain recurrent sets ⋮ PL Morse theory in low dimensions ⋮ Inhomogeneous extreme forms ⋮ A continuous function with two critical points ⋮ On existence of Morse energy function for topological flows ⋮ Simple and optimal output-sensitive construction of contour trees using monotone paths ⋮ Topological non-degenerate functions ⋮ Construction of the Morse-Bott energy function for regular topological flows ⋮ Marston Morse and his mathematical works ⋮ Geometry of Riemann surfaces based on closed geodesics

Cites Work

• Unnamed Item
• The existence of non-degenerate functions on a compact differentiable \(m\)-manifold \(M\)
• The existence of polar non-degenerate functions on differentiable manifolds
• Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
• Singular homology theory
• A positive, lower semi-continuous, non-degenerate function on a metric space

This page was built for publication: Topologically non-degenerate functions on a compact \(n\)-manifold \(M\)