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О существовании на двумерном замкнутом ориентируемом многообразии векторных полей с заданным набором особых точек

We study the possibility of constructing locally gradient and arbitrary vector fields with a given set of singular points on a two-dimensional closed oriented manifold. The sum of the indices of the vector field at these points is equal to the Euler characteristic of the manifold.

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Bibliographic Details
Main Author: Гирик, Е.А.
Format: Article
Language:Russian
Published: Інститут математики НАН України 1993
Series:Український математичний журнал
Subjects:
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/156441
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