International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 3, Pages 525-531

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

Received 16 February 1990

Copyright © 1991 Kazuhiko Takano. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.