Nonpositively curved Hermitian metrics on product manifolds
Abstract: In this article, we classify all the Hermitian metrics on a complex product manifold with nonpositive holomorphic bisectional curvature. It is a generalization of a result by Zheng.
Affiliation: Department of Mathematics, Shantou University, Shantou, Guangdong, 515063 People’s Republic of China
Keywords: Complex products, Kähler manifolds, bisectional curvature, nonpositive curvature
Received by editor(s): February 28, 2010
Received by editor(s) in revised form: April 24, 2010
Published electronically: August 27, 2010
Additional Notes: This research was partially supported by the National Natural Science Foundation of China (10901072) and GDNSF (9451503101004122).
Communicated by: Jianguo Cao
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.