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A Property of Kähler-Ricci Solitons on Complete Complex Surfaces

Bing-Long Chen, Xi-Ping Zhu

math.DGarXiv:math/0211371

Abstract

In this paper we prove that a nonflat Kähler-Ricci soliton of the Ricci flow on a complex two-dimensional Kähler manifold with nonnegative holomorphic bisectional curvature can not be of maximal volume growth.

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