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 ξ-sectional curvature.
On locally homogeneous contact metric manifolds with Reeb flow invariant Jacobi operator
Lotta A.
2023-01-01
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 ξ-sectional curvature.File in questo prodotto:
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