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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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Format: | Article |
Language: | Russian |
Published: |
Інститут математики НАН України
1993
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Series: | Український математичний журнал |
Subjects: | |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/156441 |
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