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February 2013 Volume estimates for Kähler-Einstein metrics and rigidity of complex structures
X.-X. Chen, S. K. Donaldson
J. Differential Geom. 93(2): 191-201 (February 2013). DOI: 10.4310/jdg/1361800865

Abstract

This paper extends our earlier results to higher dimensions using a different approach, based on the rigidity of complex structures on certain domains. We prove a “low energy” result in all dimensions, in the sense that if normalized energy in a large ball is small enough, then the normalized energy in any interior ball must also be small.

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X.-X. Chen. S. K. Donaldson. "Volume estimates for Kähler-Einstein metrics and rigidity of complex structures." J. Differential Geom. 93 (2) 191 - 201, February 2013. https://doi.org/10.4310/jdg/1361800865

Information

Published: February 2013
First available in Project Euclid: 25 February 2013

zbMATH: 1281.32019
MathSciNet: MR3024305
Digital Object Identifier: 10.4310/jdg/1361800865

Rights: Copyright © 2013 Lehigh University

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Vol.93 • No. 2 • February 2013
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