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SPECIAL HERMITIAN MANIFOLDS AND THE 1-COSYMPLECTIC HYPERSURFACES AXIOM

Part of: Local differential geometry

Published online by Cambridge University Press:  15 May 2014

MIHAIL B. BANARU
MIHAIL B. BANARU*
Affiliation:
Chair of Mathematics and Informatics, Smolensk State University, Przhevalski str., 4, Smolensk 214 000,Russian Federation email [email protected]
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Abstract

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It is proved that if a special Hermitian manifold complies with the 1-cosymplectic hypersurfaces axiom, then it is a Kählerian manifold.

Keywords

almost contact metric structurecosymplectic structurespecial Hermitian manifoldKählerian manifoldtype number

MSC classification

Secondary: 53B35: Hermitian and Kählerian structures 53B50: Applications to physics
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 90 , Issue 3 , December 2014 , pp. 504 - 509
Copyright
Copyright © 2014 Australian Mathematical Publishing Association Inc. 

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