IJPAM: Volume 61, No. 2 (2010)
KAEHLER MANIFOLDS WITH THE RICCI TENSOR
SATISFYING CERTAIN CONDITIONS
SATISFYING CERTAIN CONDITIONS
Yoshio Matsuyama
Department of Mathematics
Chuo University
1-13-27 Kasuga, Bunkyo-ku, Tokyo, 112-8551, JAPAN
e-mail: matuyama@math.chuo-u.ac.jp
Department of Mathematics
Chuo University
1-13-27 Kasuga, Bunkyo-ku, Tokyo, 112-8551, JAPAN
e-mail: matuyama@math.chuo-u.ac.jp
Abstract.The purpose of the present paper is to prove that the Ricci tensor of a Kaehler manifold with the cyclic parallel Ricci tensor is parallel.
Received: March 8, 2010
AMS Subject Classification: 53C40, 53B25
Key Words and Phrases: Kaehler maniolds, nearly parallel Ricci tensor, cyclic parallel Ricci tensor
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 61
Issue: 2