This article is cited in 4 papers

Noncompact leaves of foliations of Morse forms

I. A. Melnikova

Central Scientific Research Institute for Economics, Informatics and Control System

Abstract: In this paper foliations determined by Morse forms on compact manifolds are considered. An inequality involving the number of connected components of the set formed by noncompact leaves, the number of homologically independent compact leaves, and the number of singular points of the corresponding Morse form is obtained.

UDC: 515.164

Received: 18.03.1997

DOI: 10.4213/mzm1356

 English version: Mathematical Notes, 1998, 63:6, 760–763

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