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Compactness theorems for critical metrics of the Weyl functional on compact Kähler surfaces

Part of: Global differential geometry

Published online by Cambridge University Press:  09 April 2009

Shun-Cheng Chang
Shun-Cheng Chang
Affiliation:
Department of Mathematics National Tsing Hua UniversityHsinchuTaiwan30043
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Abstract

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In this note, we propose an extension of the compactness property for Kähler-Einstein metrics to critical metrics of Weyl functional on compact Kähler surfaces.

MSC classification

Secondary: 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.) 53C20: Global Riemannian geometry, including pinching
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 62 , Issue 2 , April 1997 , pp. 217 - 228
Copyright
Copyright © Australian Mathematical Society 1997

References

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