International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 3, Pages 525-531
doi:10.1155/S0161171291000716
On the integrability of a K-conformal killing equation in a Kaehlerian manifold
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.
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.