Schrodinger heat kernel upper bounds on gradient shrinking Ricci solitons

被引：0
|
作者：
Wu, Jia-Yong [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2021年 / 161卷
基金：
上海市自然科学基金;
关键词：
Gradient shrinking Ricci soliton; Heat kernel; Schrodinger operator;
D O I：
10.1016/j.geomphys.2020.104035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we give new Gaussian type upper bounds for the Schrodinger heat kernel on complete gradient shrinking Ricci solitons with the scalar curvature bounded above. This result is a little broader than our earlier paper at some cases. The proof uses on a Davies type integral estimate and a local mean value inequality on gradient shrinking Ricci solitons. (C) 2020 Elsevier B.V. All rights reserved.
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页数：9
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