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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An example of compact Kähler manifold with nonnegative quadratic bisectional curvature
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by Qun Li, Damin Wu and Fangyang Zheng PDF
Proc. Amer. Math. Soc. 141 (2013), 2117-2126 Request permission

Abstract:

We construct a compact Kähler manifold of nonnegative quadratic bisectional curvature which does not admit any Kähler metric of nonnegative orthogonal bisectional curvature. The manifold is a 7-dimensional Kähler $C$-space with second Betti number equal to 1, and its canonical metric is a Kähler-Einstein metric of positive scalar curvature.
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Additional Information
  • Qun Li
  • Affiliation: Department of Mathematics and Statistics, Wright State University, 3640 Colonel Glenn Highway, Dayton, Ohio 45435
  • Email: qun.li@wright.edu
  • Damin Wu
  • Affiliation: Department of Mathematics, The Ohio State University, 1179 University Drive, Newark, Ohio 43055
  • Address at time of publication: Department of Mathematics, University of Connecticut, Storrs, Connecticut 06269
  • MR Author ID: 799841
  • Email: dwu@math.ohio-state.edu, damin.wu@uconn.edu
  • Fangyang Zheng
  • Affiliation: Department of Mathematics, The Ohio State University, 231 West 18th Avenue, Columbus, Ohio 43210 – and – Center for Mathematical Sciences, Zhejiang University, Hangzhou, 310027 People’s Republic of China
  • MR Author ID: 272367
  • Email: zheng@math.ohio-state.edu
  • Received by editor(s): October 7, 2011
  • Published electronically: February 12, 2013
  • Communicated by: Lei Ni
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 2117-2126
  • MSC (2010): Primary 32M10, 53C55; Secondary 53C21, 53C30
  • DOI: https://doi.org/10.1090/S0002-9939-2013-11596-0
  • MathSciNet review: 3034437