Some examples of minimally degenerate Morse functions

DOI10.1017/S0013091500028340zbMath0627.58014MaRDI QIDQ3763279

Frances C. Kirwan

Publication date: 1987

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Morse inequalitiesstrictly convex functionsminimally degenerate Morse functionsnondegenerate Morse functions

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Singularities of differentiable mappings in differential topology (57R45) Critical points and critical submanifolds in differential topology (57R70)

Related Items (2)

The Morse-Bott-Kirwan condition is local ⋮ Optimal Łojasiewicz-Simon inequalities and Morse-Bott Yang-Mills energy functions

Cites Work

• Nondegenerate critical manifolds
• Convexity and Commuting Hamiltonians

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