Classification of gradient-like flows on dimensions two and three

DOI10.1007/BF02584782zbMath0383.58013MaRDI QIDQ4164077

G. Fleitas

Publication date: 1975

Published in: Boletim da Sociedade Brasileira de Matemática (Search for Journal in Brave)

Mathematics Subject Classification ID

Related Items (18)

Spherical flow diagram with finite hyperbolic chain-recurrent set ⋮ On a topological classification of multidimensional polar flows ⋮ Topological structure of optimal flows on the Girl's surface ⋮ Circular Fleitas scheme for gradient-like flows on the surface ⋮ Moduli spaces of Morse functions for persistence ⋮ On existence of noncompact heteroclinic curves ⋮ Global attractor and repeller of Morse-Smale diffeomorphisms ⋮ Complete topological invariants of Morse-Smale flows and handle decompositions of 3-manifolds ⋮ Some new invariants of Morse-Smale diffeomorphisms of a surface ⋮ Replacing tangencies by saddle-nodes ⋮ The C*-algebras of Morse—Smale flows on two-manifolds ⋮ On algorithms that effectively distinguish gradient-like dynamics on surfaces ⋮ Classification of Morse–Smale systems and topological structure of the underlying manifolds ⋮ Morse-Smale systems and topological structure of carrier manifolds ⋮ Global dynamics of Morse-Smale systems ⋮ Surface basic sets with wildly embedded supporting surfaces ⋮ Trajectory equivalence of optimal Morse flows on closed surfaces ⋮ The energy function of gradient-like flows and the topological classification problem

Cites Work

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• Heegaard-Zerlegungen der 3-Sphäre
• On Morse-Smale dynamical systems
• Classification of (n-1)-connected 2n-manifolds
• Three-Dimensional Manifolds and Their Heegaard Diagrams
• A proof of the generalized Schoenflies theorem
• Differentiable dynamical systems

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