Scalar curvature along the Ricci flow

IF 0.5 4区数学 Q3 MATHEMATICS Geometriae Dedicata Pub Date : 2024-04-15 DOI:10.1007/s10711-024-00913-3

Yi Li

引用次数: 0

Abstract

In this note, we prove a well-known conjecture on the Ricci flow under a curvature condition, which is a pinching between the Ricci and Weyl tensors divided by suitably translated scalar curvature, motivated by Cao’s result (Commun Anal Geom 19(5):975–990, 2011).

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沿利玛窦流的标量曲率

在本论文中，我们证明了在曲率条件下关于利玛窦流的一个著名猜想，即利玛窦张量和韦尔张量之间的夹角除以适当平移的标量曲率，该猜想源自曹文轩的结果（Commun Anal Geom 19(5):975-990, 2011）。

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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来源期刊

Geometriae Dedicata 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Geometriae Dedicata concentrates on geometry and its relationship to topology, group theory and the theory of dynamical systems. Geometriae Dedicata aims to be a vehicle for excellent publications in geometry and related areas. Features of the journal will include: A fast turn-around time for articles. Special issues centered on specific topics. All submitted papers should include some explanation of the context of the main results. Geometriae Dedicata was founded in 1972 on the initiative of Hans Freudenthal in Utrecht, the Netherlands, who viewed geometry as a method rather than as a field. The present Board of Editors tries to continue in this spirit. The steady growth of the journal since its foundation is witness to the validity of the founder''s vision and to the success of the Editors'' mission.

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