I. Gelbukh
Ph.D. (mathematics)

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Scientific interests

• Topology of Morse form foliations
• Manifold topology

Recent publications

• I. Gelbukh. Presence of minimal components in a Morse form foliation. Differential Geometry and its Applications, 22(2):189-198, 2005.

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• Abstract: Conditions and a criterion for the presence of minimal components in the foliation of a Morse form $\omega$ on a smooth closed oriented manifold $M$ are given in terms of (1) the maximum rank of a subgroup in $H^1(M,Z)$ with trivial cup-product, (2) $\ker[\omega]$, and (3) $\rk\omega = \rk\im[\omega]$, where $[\omega]$ is the integration map.

• Key words: Morse form foliation, minimal components, form rank, cup-product

• MSC 2000: 57R30, 58K65

Last modified 20/05/2005