On the existence of vector fields with a given set of singular points on a two-dimensional closed oriented manifold

  • E. A. Girik

Abstract

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.
Published
25.12.1993
How to Cite
GirikE. A. “On the Existence of Vector Fields With a Given Set of Singular Points on a Two-Dimensional Closed Oriented Manifold”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 45, no. 12, Dec. 1993, pp. 1706–1709, https://umj.imath.kiev.ua/index.php/umj/article/view/5980.
Section
Short communications