Transversal Jacobi Operators in Almost Contact Manifolds
Keyword(s):
Along a transversal geodesic γ whose tangent belongs to the contact distribution D, we define the transversal Jacobi operator Rγ=R(·,γ˙)γ˙ on an almost contact Riemannian manifold M. Then, using the transversal Jacobi operator Rγ, we give a new characterization of the Sasakian sphere. In the second part, we characterize the complete ruled real hypersurfaces in complex hyperbolic space.
2009 ◽
Vol 81
(2)
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pp. 260-273
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2001 ◽
Vol 71
(3)
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pp. 367-396
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2014 ◽
Vol 57
(4)
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pp. 821-833
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2017 ◽
Vol 51
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pp. 1-8
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