Transversal Jacobi Operators in Almost Contact Manifolds

Jong Taek Cho and Makoto Kimura
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Jong Taek Cho: Department of Mathematics, Chonnam National University, Gwangju 61186, Korea
Makoto Kimura: Department of Mathematics, Faculty of Science, Ibaraki University, Mito, Ibaraki 310-8512, Japan

Mathematics, 2020, vol. 9, issue 1, 1-9

Abstract: Along a transversal geodesic γ whose tangent belongs to the contact distribution D , we define the transversal Jacobi operator R γ = R ( · , γ ? ) γ ? on an almost contact Riemannian manifold M . Then, using the transversal Jacobi operator R γ , we give a new characterization of the Sasakian sphere. In the second part, we characterize the complete ruled real hypersurfaces in complex hyperbolic space.

Keywords: almost contact manifold; transversal Jacobi operator; Sasakian sphere; ruled real hypersurface (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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