广义Yamabe流

IF 1.6 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-08-27 DOI:10.1007/s13324-025-01121-2

Jørgen Olsen Lye, Boris Vertman, Mannaim Gennaro Vitti

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引用次数: 0

摘要

在这项工作中，我们引入了一类共形流，推广了经典的Yamabe流。我们证明了对于一类这样的流长期存在是成立的，而且论证实际上比经典情况更简单。此外，我们建立了负标量曲率情况下的收敛性，并期望在正标量曲率和平面曲率情况下也有类似的结论。

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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Generalized Yamabe Flows

In this work we introduce a family of conformal flows generalizing the classical Yamabe flow. We prove that for a large class of such flows long-time existence holds, and the arguments are in fact simpler than in the classical case. Moreover, we establish convergence for the case of negative scalar curvature and expect a similar statement for the positive and the flat cases as well.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.