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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

   

 

Nonpositively curved Hermitian metrics on product manifolds


Author: Chengjie Yu
Journal: Proc. Amer. Math. Soc. 139 (2011), 1469-1472
MSC (2000): Primary 53B25; Secondary 53C40
Published electronically: August 27, 2010
MathSciNet review: 2748441
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Abstract | References | Similar Articles | Additional Information

Abstract: In this article, we classify all the Hermitian metrics on a complex product manifold $ M=X\times Y$ with nonpositive holomorphic bisectional curvature. It is a generalization of a result by Zheng.


References [Enhancements On Off] (What's this?)

  • 1. Tam, Luen-Fai; Yu, Chengjie. Complex Product Manifolds and Bounds of Curvature, to appear in Asian Journal of Mathematics.
  • 2. Fangyang Zheng, Non-positively curved Kähler metrics on product manifolds, Ann. of Math. (2) 137 (1993), no. 3, 671–673. MR 1217351 (94k:53083), 10.2307/2946535

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Additional Information

Chengjie Yu
Affiliation: Department of Mathematics, Shantou University, Shantou, Guangdong, 515063 People’s Republic of China
Email: cjyu@stu.edu.cn

DOI: http://dx.doi.org/10.1090/S0002-9939-2010-10558-0
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.