K"ahlerian submersions with vanishing Bochner curvature tensor

Main Article Content

Kazuhiko Takano

Abstract

In this paper, we discuss the K"ahlerian submersion with vanishing Bochner curvature tensor and prove that the Bochner curvature tensor of the base space vanishes. Also, we seek a sufficient condition with respect to the length of the Ricci tensor of each fiber that the Bochner curvature tensor of each fiber vanishes.

Article Details

How to Cite
Takano, K. . (2000). K"ahlerian submersions with vanishing Bochner curvature tensor. Tamkang Journal of Mathematics, 31(1), 21–32. https://doi.org/10.5556/j.tkjm.31.2000.411
Section
Papers
Author Biography

Kazuhiko Takano

Department of Mathematics, Faculty of Engineering, Shinshu University, 4-17-1 Wakasato, Nagano 380-8553, Japan.