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

Authors

  • Antonio Lotta

DOI:

https://doi.org/10.1285/i15900932v43n2p49

Keywords:

locally homogeneous contact metric manifold, regular contact manifold, characteristic Jacobi operator

Abstract

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.

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Published

15-11-2023

Issue

Volume 43, issue 2 (2023)

Section

Articoli

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