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Diameter estimate for a class of compact generalized quasi-Einstein manifolds

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成果类型:
期刊论文
作者:
Deng, Yihua
作者机构:
[Deng, Yihua] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Hunan, Peoples R China.
语种:
英文
关键词:
Generalized quasi-Einstein manifolds;lower diameter estimate;the Bochner formula;maximum principle
期刊:
TURKISH JOURNAL OF MATHEMATICS
ISSN:
1300-0098
年:
2021
卷:
45
期:
5
页码:
2331-2340
基金类别:
discipline special research projects of Hengyang Normal University [XKZX21002, KYZX21003]; Application-oriented Special Disciplines, Double First-Class University Project of Hunan Province (Xiangjiaotong) [Xiangjiaotong [2018]469]; science and technology plan project of Hunan province [2016TP1020]
机构署名:
本校为第一机构
院系归属:
数学与统计学院
摘要:
In this paper, we discuss the lower diameter estimate for a class of compact generalized quasi-Einstein manifolds which are closely related to the conformal geometry. Using the Bochner formula and the Hopf maximum principle, we get a gradient estimate for the potential function of the manifold. Based on the gradient estimate, we get the lower diameter estimate for t...

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