关于四维紧致Ricci孤子的欧拉特性和Hitchin-Thorpe不等式

Proceedings of the American Mathematical Society, Series B Pub Date : 2022-03-28 DOI:10.1090/bproc/155

Xu Cheng, E. Ribeiro, Detang Zhou

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引用次数: 1

摘要

本文研究了4个4维紧致梯度Ricci孤子的几何性质。证明了在势函数范围的上界条件下，一个4维紧致梯度Ricci孤子必须满足经典的希钦-索普不等式。此外，还得到了一些体积估计。

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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On Euler characteristic and Hitchin-Thorpe inequality for four-dimensional compact Ricci solitons

In this article, we investigate the geometry of 4 4 -dimensional compact gradient Ricci solitons. We prove that, under an upper bound condition on the range of the potential function, a 4 4 -dimensional compact gradient Ricci soliton must satisfy the classical Hitchin-Thorpe inequality. In addition, some volume estimates are also obtained.

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来源期刊

Proceedings of the American Mathematical Society, Series B

CiteScore

1.60

自引率

0.00%

发文量