Bulletin of the
Korean Mathematical Society
BKMS

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

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Bull. Korean Math. Soc. 2005; 42(1): 1-4

Printed March 1, 2005

Copyright © The Korean Mathematical Society.

On a conformal Killing vector field in a compact almost Kahlerian manifold

Kazuhiko Takano and Jae-Bok Jun

Shinshu University, Kookmin University

Abstract

In this paper, we will prove that in a compact almost K\"ahlerian manifold $M^n$, any conformal Killing vector field is Killing if $n\geq4$.

Keywords: almost Kahlerian manifold, conformal Killing vector field

MSC numbers: 53C55, 57R25

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