Poincaré-Hopf inequalities

DOI10.1090/S0002-9947-04-03641-4zbMath1134.37316MaRDI QIDQ5461376

Maria Alice Bertolim, Ketty Abaroa de Rezendre, Margarida Pinheiro Mello

Publication date: 26 July 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items

Duality and the Poincaré-Hopf inequalities ⋮ Dynamical and topological aspects of Lyapunov graphs ⋮ On handle theory for Morse-Bott critical manifolds ⋮ Poincaré-Hopf inequalities for periodic orbits ⋮ Realizability of the morse polytope

Cites Work

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• Incidence matrices and interval graphs
• Gradient-like flows on high-dimensional manifolds
• Lyapunov graph continuation
• Poincaré–Hopf and Morse inequalities for Lyapunov graphs