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Properties of complete non-compact Yamabe solitons

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Abstract

In this article, we first study the local volume estimate of the complete non-compact Yamabe soliton. Then we study the behavior of the potential function of the steady Yamabe soliton with positive Ricci curvature. We also study the scalar curvature decay of steady and expanding Yamabe solitons with Ricci pinching condition.

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Authors and Affiliations

  1. Department of mathematics, Henan Normal university, Xinxiang, 453007, China

    Li Ma

  2. School of Mathematics and Statistics, Huazhong Normal University, Wuhan, 430079, People’s Republic of China

    Liang Cheng

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  1. Li Ma
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  2. Liang Cheng
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Correspondence to Li Ma.

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Ma, L., Cheng, L. Properties of complete non-compact Yamabe solitons. Ann Glob Anal Geom 40, 379–387 (2011). https://doi.org/10.1007/s10455-011-9263-3

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  • DOI: https://doi.org/10.1007/s10455-011-9263-3

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