Decompositions of the space of Riemannian metrics on a compact manifold with boundary

被引：0

作者：

Hamanaka, Shota ^{[1
]}

机构：

[1] Chuo Univ, Dept Math, Tokyo 1128551, Japan

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 60卷 / 05期

关键词：

Space of Riemannian metrics; Manifolds with boundary; Constant scalar curvature metrics; SCALAR CURVATURE; MEAN-CURVATURE; YAMABE PROBLEM; THEOREM;

D O I：

10.1007/s00526-021-02070-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, for a compact manifold M with non-empty boundary partial derivative M, we give a Koisotype decomposition theorem, as well as an Ebin-type slice theorem, for the space of all Riemannian metrics on M endowed with a fixed conformal class on partial derivative M. As a corollary, we give a characterization of relative Einstein metrics.

引用

页数：24

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