Four-dimensional generalized Ricci flows with nilpotent symmetry

被引：0

作者：

Gindi, Steven ^{[1
]}

Streets, Jeffrey ^{[2
]}

机构：

[1] Binghamton Univ, Whitney Hall, Binghamton, NY 13902 USA

[2] Univ Calif Irvine, Rowland Hall, Irvine, CA 92617 USA

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2023年 / 25卷 / 07期

关键词：

Generalized Ricci flow; T-DUALITY; RENORMALIZATION; REGULARITY; GEOMETRY; ENTROPY;

D O I：

10.1142/S0219199722500250

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study solutions to generalized Ricci flow on four-manifolds with a nilpotent, codimension 1 symmetry. We show that. all such flows are immortal, and satisfy type III curvature and diameter estimates. Using a new kind of monotone energy adapted to this setting, we show that blowdown limits lie in a canonical finite-dimensional family of solutions. The results are new for Ricci flow.

引用

页数：28

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