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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 3, Pages 525-532
doi:10.1155/S0161171291000716

On the integrability of a K-conformal killing equation in a Kaehlerian manifold

Kazuhiko Takano

Department of Mathematics, Faculty of Science, Science University of Tokyo, 26, Wakamiya-cho, Shinjuku-ku, Tokyo 162, Japan

Abstract

We show that necessary and sufficient condition in order that K- conformal Killing equation is completely integrable is that the Kaehlerian manifold K2m(m>2) is of constant holomorphic sectional curvature.