Complete non-compact gradient Ricci solitons with nonnegative Ricci curvature

Yuxing Deng; Xiaohua Zhu

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arXiv · 1312.1216

Complete non-compact gradient Ricci solitons with nonnegative Ricci curvature

Yuxing Deng·Xiaohua Zhu

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Abstract

In this paper, we give a delay estimate of scalar curvature for a complete non-compact expanding (or steady) gradient Ricci soliton with nonnegative Ricci curvature. As an application, we prove that any complete non-compact expanding (or steady) gradient Kähler-Ricci solitons with positively pinched Ricci curvature should be Ricci flat. The result answers a question in case of Kähler-Ricci solitons proposed by Chow, Lu and Ni in a book.

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Yuxing Deng, Xiaohua Zhu. 2013-12-04. Complete non-compact gradient Ricci solitons with nonnegative Ricci curvature. https://arxiv.org/abs/1312.1216

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