[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b190805

CURVATURE ESTIMATES FOR GRADIENT EXPANDING RICCI SOLITONS

Zhang, Liangdi (Center of Mathematical Sciences Zhejiang University and Yanqi Lake Beijing Institute of Mathematical Sciences and Applications)

Publication Information

Bulletin of the Korean Mathematical Society / v.58, no.3, 2021 , pp. 537-557 More about this Journal

Abstract

In this paper, we investigate the curvature behavior of complete noncompact gradient expanding Ricci solitons with nonnegative Ricci curvature. For such a soliton in dimension four, it is shown that the Riemann curvature tensor and its covariant derivatives are bounded. Moreover, the Ricci curvature is controlled by the scalar curvature. In higher dimensions, we prove that the Riemann curvature tensor grows at most polynomially in the distance function.

Keywords

Curvature estimate; gradient expanding Ricci soliton; nonnegative Ricci curvature;

Citations & Related Records

Reference

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