On locally homogeneous contact metric manifolds with Reeb flow invariant 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
-sectional curvature.
![\xi](http://siba-ese.unile.it/plugins/generic/latexRender/cache/195246810f9bfc228bca491859062b14.png)
DOI Code:
10.1285/i15900932v43n2p49
Keywords:
locally homogeneous contact metric manifold; regular contact manifold; characteristic Jacobi operator
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