Remarks on shrinking gradient Kähler–Ricci solitons with positive bisectional curvature

Guoqiang Wu; Shijin Zhang

doi:10.1016/j.crma.2016.04.010

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Remarks on shrinking gradient Kähler–Ricci solitons with positive bisectional curvature

Guoqiang Wu Shijin Zhang

Year: 2016 Journal: Comptes Rendus Mathématique Vol: 354 (7)Pages: 713-716 Publisher: Elsevier BV

DOI: 10.1016/j.crma.2016.04.010

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Abstract

In this short note, using an argument by Munteanu and Wang, we provide an alternative proof of the fact first obtained by Lei Ni that shrinking gradient Kähler–Ricci solitons with positive bisectional curvature must be compact.

Keywords:

Curvature Argument (complex analysis) Ricci curvature Mathematics Mathematical physics Physics Geometry

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Geometry and complex manifolds

Physical Sciences → Mathematics → Geometry and Topology

Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Advanced Differential Geometry Research

Physical Sciences → Physics and Astronomy → Astronomy and Astrophysics

Remarks on shrinking gradient Kähler–Ricci solitons with positive bisectional curvature

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