完整准山叶梯度孤子的共形几何

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2024-06-13 DOI:10.1007/s00013-024-02016-7

Joao Francisco da Silva Filho, Larissa Braga Fernandes

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引用次数: 0

摘要

这项工作的目的是研究完全准山边梯度孤子的共形几何，它对应于梯度山边孤子的一个有趣的泛化。在这个意义上，我们提出了具有恒定标量曲率的完全准山叶梯度孤子的刚性结果。此外，我们还证明了准山边梯度孤子可以保角地变为恒标量曲率。

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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Conformal geometry of complete quasi Yamabe gradient solitons

The purpose of this work is to study the conformal geometry of complete quasi Yamabe gradient solitons, which correspond to an interesting generalization for gradient Yamabe solitons. In this sense, we present a rigidity result for complete quasi Yamabe gradient solitons with constant scalar curvature. Moreover, we prove that quasi Yamabe gradient solitons can be conformally changed to constant scalar curvature.

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来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.