Lower bounds for isoperimetric profiles and Yamabe constants

被引：0
|
作者：
Ruiz, Juan Miguel [1 ]
Juarez, Areli Vazquez [1 ]
机构：
[1] ENES UNAM, Dept Matemat, Leon, Gto, Spain
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2023年 / 91卷
关键词：
Isoperimetric profile; Symmetrization; Yamabe constants; PRODUCT; REGULARITY; INVARIANT; REGIONS;
D O I：
10.1016/j.difgeo.2023.102069
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We estimate explicit lower bounds for the isoperimetric profiles of the Riemannian product of a compact manifold and the Euclidean space with the flat metric, (M-m x R-n, (g)+(gE)), m, n > 1. In particular, we introduce a lower bound for the isoperimetric profile of Mm x Rn for regions of large volume and we improve on previous estimates of lower bounds for the isoperimetric profiles of S(2 )x R-2, S-3 x R-2, S-2 x R-3. We also discuss some applications of these results in order to improve known lower bounds for the Yamabe invariant of certain product manifolds.(c) 2023 Elsevier B.V. All rights reserved.
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页数：15
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