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.
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References
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Translated fromMatematicheskie Zametki, Vol. 63, No. 6, pp. 862–865, June, 1998.
The author wishes to thank Professor A. S. Mishchenko for his interest in this work and stimulating discussions.
This research was partially supported by the Russian Foundation for Basic Research under grant No. 96-01-00276.
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Mel'nikova, I.A. Noncompact leaves of foliations of Morse forms. Math Notes 63, 760–763 (1998). https://doi.org/10.1007/BF02312769
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DOI: https://doi.org/10.1007/BF02312769