On locally homogeneous contact metric manifolds with Reeb flow invariant Jacobi operator

被引：0

作者：

Lotta, Antonio ^{[1
]}

机构：

[1] Univ Bari Aldo Moro, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari, Italy

来源：

NOTE DI MATEMATICA | 2023年 / 43卷 / 02期

关键词：

locally homogeneous contact metric manifold; regular contact manifold; charac-teristic Jacobi operator;

D O I：

10.1285/i15900932v43n2p49

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a locally homogeneous, regular contact metric manifold, whose characteristic Jacobi operator is invariant under the Reeb flow, is not compact, provided it admits at least one negative xi -sectional curvature.

引用

页码：49 / 54

页数：6

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