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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2016 Number 1, Pages 86–89 (Mi ivm9073)

This article is cited in 3 papers

Brief communications

On quasi-Sasakian hypersurfaces of Kählerian manifolds

L. V. Stepanovaa, G. A. Banarub, M. B. Banaruc

a Chair of Higher and Applied Mathematics, Smolensk Branch of Moscow State University of Railway Engineering, 45 Belyaev str., Smolensk, 214012 Russia
b Chair of Applied Mathematics, Smolensk State University, 4 Przheval'skogo str., Smolensk, 214000 Russia
c Chair of Mathematics and Information Science, Smolensk State University, 4 Przheval'skogo str., Smolensk, 214000 Russia

Abstract: We establish several conditions which are necessary for quasi-Sasakian hypersurfaces of a Kählerian manifold to be minimal.

Keywords: almost contact metric structure, quasi-Sasakian structure, type number, hypersurface, Kählerian manifold.

UDC: 513.82

Presented by the member of Editorial Board: A. V. Aminova
Received: 09.12.2014


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, 60:1, 73–75

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