A Property of Kähler-Ricci Solitons on Complete Complex Surfaces

Mathematics – Differential Geometry

Scientific paper

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13 pages

Scientific paper

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.

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