Stretched non-positive Weyl connections on solvable Lie groups

被引：0

作者：

Bochenski, Maciej ^{[1
]}

Jastrzebski, Piotr ^{[1
]}

Tralle, Aleksy ^{[1
]}

机构：

[1] Univ Warmia & Mazury, Fac Math & Comp Sci, Sloneczna 54, PL-10710 Olsztyn, Poland

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2024年 / 203卷 / 03期

关键词：

Invariant Weyl connection; Solvable Lie algebra; Solvmanifold; Non-positive curvature; CLASSIFICATION; MANIFOLDS; METRICS; FLOWS;

D O I：

10.1007/s10231-023-01409-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine the structure of solvable Lie groups endowed with invariant stretched non-positive Weyl connections and find classes of solvable Lie groups admitting and not admitting such connections. In dimension 4 we fully classify solvable Lie groups which admit invariant SNP Weyl connections.

引用

页码：1463 / 1481

页数：19

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