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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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On the boundary of Kähler cones
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by Xiangwen Zhang PDF
Proc. Amer. Math. Soc. 140 (2012), 701-705 Request permission

Abstract:

We study some geometric properties of a compact Kähler manifold $(M^n, g)$ under a certain condition on the bisectional curvature. As an application, we give a new proof for an earlier result which asserts that any boundary class of the Kähler cone of $M^n$ can be represented by a $C^{\infty }$ closed (1,1) form that is parallel and everywhere nonnegative.
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Additional Information
  • Xiangwen Zhang
  • Affiliation: Department of Mathematics and Statistics, McGill University, Montreal, Quebec, H3A 2K6, Canada
  • MR Author ID: 910561
  • Email: xzhang@math.mcgill.ca
  • Received by editor(s): October 24, 2010
  • Received by editor(s) in revised form: December 1, 2010
  • Published electronically: June 21, 2011
  • Communicated by: Jianguo Cao
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 701-705
  • MSC (2010): Primary 53B35, 51M99
  • DOI: https://doi.org/10.1090/S0002-9939-2011-10929-8
  • MathSciNet review: 2846339