Minimal Morse flows on compact manifolds

DOI10.1016/j.topol.2006.03.005zbMath1105.37019OpenAlexW2031287810MaRDI QIDQ860481

Gioia M. Vago, Ketty Abaroa de Rezendre, Maria Alice Bertolim

Publication date: 9 January 2007

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2006.03.005

zbMATH Keywords

Conley indexLyapunov graphsPoincaré-Hopf inequalities

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Index theory for dynamical systems, Morse-Conley indices (37B30) Morse-Smale systems (37D15)

Related Items

Isolating blocks for Morse flows ⋮ On the variations of the Betti numbers of regular levels of Morse flows ⋮ Duality and the Poincaré-Hopf inequalities ⋮ Poincaré-Hopf inequalities for periodic orbits ⋮ A global two-dimensional version of Smale’s cancellation theorem via spectral sequences

Cites Work

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• Nonsingular Smale flows on \(S^ 3\)
• Continuation to the minimal number of critical points in gradient flows
• Smale Flows on the Three-Sphere
• Gradient-like flows on high-dimensional manifolds
• Lyapunov graph continuation