Isolating blocks for Morse flows

DOI10.1007/s10711-006-9083-yzbMath1105.37009OpenAlexW1969479082MaRDI QIDQ861668

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

Publication date: 30 January 2007

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-006-9083-y

zbMATH Keywords

Conley index theoryLyapunov graphsMorse flows

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Graph theory (05C99) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items (7)

On the variations of the Betti numbers of regular levels of Morse flows ⋮ Duality and the Poincaré-Hopf inequalities ⋮ On handle theory for Morse-Bott critical manifolds ⋮ Poincaré-Hopf inequalities for periodic orbits ⋮ Lyapunov graphs for circle valued functions ⋮ Realizability of the morse polytope ⋮ A global two-dimensional version of Smale’s cancellation theorem via spectral sequences

Cites Work

• Minimal Morse flows on compact manifolds
• Nonsingular Smale flows on \(S^ 3\)
• Manifolds which are like projective planes
• Continuation to the minimal number of critical points in gradient flows
• Smale Flows on the Three-Sphere
• The generalized Poincaré conjecture in higher dimensions
• On the Structure of Manifolds
• Gradient-like flows on high-dimensional manifolds
• Lyapunov graph continuation
• The octonions
• Poincaré–Hopf and Morse inequalities for Lyapunov graphs
• The cohomology of classifying spaces of 𝐻-spaces

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