关于梯度 h-Ricci 孤立子的刚性研究
Study on the Rigidity of Gradient h-RicciSolitons
DOI: 10.12677/PM.2024.144107, PDF, 下载: 41  浏览: 56  国家自然科学基金支持
作者: 黄雪纯, 刘建成*：西北师范大学数学与统计学院，甘肃 兰州
关键词: 梯度 h-Ricci 孤立子；数量曲率；非负数量曲率；抛物型；Gradient h-Ricci Solitons； Scalar Curvature； Non-Negative Scalar Curvature； Parabolicity
摘要: 本文研究了梯度 h-Ricci 孤立子的数量曲率有上界时，数量曲率是常数的结果，同时，证明了在 一定的积分条件下，梯度 h-Ricci 孤立子的数量曲率消失的结果。
Abstract: In this article, we study the results that the scalar curvature is constant when the scalar curvature of a gradient h-Ricci soliton has an upper bound. It also proved that under some integral conditions, the scalar curvature of gradient h-Ricci solitons must be vanished.
文章引用：黄雪纯, 刘建成. 关于梯度 h-Ricci 孤立子的刚性研究[J]. 理论数学, 2024, 14(4): 26-33. https://doi.org/10.12677/PM.2024.144107

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