This article is cited in 7 papers

On the Kenmotsu hypersurfaces of special Hermitian manifolds

M. B. Banaru

Smolensk Humanitarian University

Abstract: We consider almost contact metric hypersurfaces of almost Hermitian manifolds of class $W3$ (in the Gray–Hervella terminology). We establish a criterion for minimality of such hypersurfaces in the case when the contact metric structure is cosymplectic.

Keywords: almost Hermitian manifold, $W3$-manifold, cosymplectic structure, minimal hypersurface.

UDC: 513.74

Received: 20.03.2002

 English version: Siberian Mathematical Journal, 2004, 45:1, 7–10

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