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.References
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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