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A Property of K\"{a}hler-Ricci Solitons on Complete Complex Surfaces

Differential Geometry 2007-05-23 v1

Abstract

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

Cite

@article{arxiv.math/0211371,
  title  = {A Property of K\"{a}hler-Ricci Solitons on Complete Complex Surfaces},
  author = {Bing-Long Chen and Xi-Ping Zhu},
  journal= {arXiv preprint arXiv:math/0211371},
  year   = {2007}
}

Comments

13 pages