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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Nonpositively curved Hermitian metrics on product manifolds
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by Chengjie Yu
Proc. Amer. Math. Soc. 139 (2011), 1469-1472
DOI: https://doi.org/10.1090/S0002-9939-2010-10558-0
Published electronically: August 27, 2010
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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
  • Tam, Luen-Fai; Yu, Chengjie. Complex Product Manifolds and Bounds of Curvature, to appear in Asian Journal of Mathematics.
  • Fangyang Zheng, Non-positively curved Kähler metrics on product manifolds, Ann. of Math. (2) 137 (1993), no. 3, 671–673. MR 1217351, DOI 10.2307/2946535
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Bibliographic Information
  • Chengjie Yu
  • Affiliation: Department of Mathematics, Shantou University, Shantou, Guangdong, 515063 People’s Republic of China
  • Email: cjyu@stu.edu.cn
  • 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
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 139 (2011), 1469-1472
  • MSC (2000): Primary 53B25; Secondary 53C40
  • DOI: https://doi.org/10.1090/S0002-9939-2010-10558-0
  • MathSciNet review: 2748441