Ricci孤子中位向量场有限全局范数的存在性

IF 0.8 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2023-07-05 DOI:10.1007/s40010-023-00839-7

Absos Ali Shaikh, Prosenjit Mandal, Chandan Kumar Mondal

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引用次数: 2

摘要

本文给出了Ricci孤子中位向量场的全局范数。特别地，我们推导了膨胀Ricci孤子中位向量场具有有限全局范数的若干条件。此外，我们还证明了在有限体积的完全非紧Ricci孤子中，如果势向量场具有有限全局范数，则标量曲率变为常数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence of Finite Global Norm of Potential Vector Field in a Ricci Soliton

In this paper, we present global norm of potential vector field in Ricci soliton. In particular, we deduce certain conditions so that the potential vector field has finite global norm in expanding Ricci soliton. In addition, we show that if the potential vector field has finite global norm in complete non-compact Ricci soliton having finite volume, then the scalar curvature becomes constant.

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