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The Hopf theorem for gradient local vector fields on manifolds

We prove the Hopf theorem for gradient local vector fields on manifolds, i.e., we show that there is a natural bijection between the set of gradient otopy classes of gradient local vector fields and the integers if the manifold is connected Riemannian without boundary.

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Category
Publikacja w czasopiśmie
Type
artykuł w czasopiśmie wyróżnionym w JCR
Language
angielski
Publication year
2015

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