Abstract
We consider here gradient-like flows of classC r (r≥1) on a closed manifoldM of classC r+1 and dimension two or three. We study the classification of these flows by the relation of topological equivalence. In this sense, the flows which are more relevant are the polar flows (only one source and only one sink).
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This work is based on the author's theses in Instituto de Matemática Pura e Aplicada written under Professer Mauricio Peixoto's advise.
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Fleitas, G. Classification of gradient-like flows on dimensions two and three. Bol. Soc. Bras. Mat 6, 155–183 (1975). https://doi.org/10.1007/BF02584782
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DOI: https://doi.org/10.1007/BF02584782