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

• Datum: 1993
• Hauptverfasser: Girik, E. A., Гирик, Е. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1993
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5980
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.