Metrics of constant negative scalar-Weyl curvature

被引：0

作者：

Catino, Giovanni ^{[1
]}

机构：

[1] Politecn Milan, Dipartimento Matemat, Piazza Leonardo Da Vinci 32, I-20133 Milan, Italy

来源：

MATHEMATICAL RESEARCH LETTERS | 2023年 / 30卷 / 02期

关键词：

MANIFOLDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Extending Aubin's construction of metrics with constant negative scalar curvature, we prove that every n-dimensional closed manifold admits a Riemannian metric with constant negative scalarWeyl curvature, that is R + t|W|, t is an element of R. In particular, there are no topological obstructions for metrics with epsilon-pinched Weyl curvature and negative scalar curvature.

引用

页码：319 / 340

页数：22

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