Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2016; 53(6): 1869-1878

Online first article November 2, 2016      Printed November 30, 2016

https://doi.org/10.4134/BKMS.b151057

Copyright © The Korean Mathematical Society.

On the closed Einstein-Weyl structure and compact $K$-contact manifold

Amalendu Ghosh

Chandernagore College

Abstract

We study closed Einstein-Weyl structure on compact $K$-con\-tact manifolds and prove that a compact $K$-contact manifold admitting a closed Einstein-Weyl structure is Einstein and Sasakian.

Keywords: closed Einstein-Weyl structure, $K$-contact manifold, Sasakian manifold

MSC numbers: 53C25, 53C15, 53C20