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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 \xi-sectional curvature.

DOI Code: 10.1285/i15900932v43n2p49

Keywords: locally homogeneous contact metric manifold; regular contact manifold; characteristic Jacobi operator

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