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.
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页数：28
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