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Almost contact metric hypersurfaces with small type numbers in $W_4$-manifolds

M. B. Banaru

Smolensk State University

Abstract: It is proved that in a $W_4$-manifold, the almost contact metric structures on a hypersurface with type number 1 and on a hypersurface with type number 0 are identical.

Key words: almost contact metric structure, type number, hypersurface, $W_4$-manifold.

UDC: 514.76

Received: 05.10.2016

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2018, 73:1, 38–40

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