A Property of K\"{a}hler-Ricci Solitons on Complete Complex Surfaces
classification
🧮 math.DG
keywords
complexhler-riccibisectionalcompletecurvatureflowgrowthhler
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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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