Jacobi fields of the Tanaka-Webster connection on Sasakian manifolds
نویسندگان
چکیده
منابع مشابه
Jacobi fields of the Tanaka-Webster connection on Sasakian manifolds
We build a variational theory of geodesics of the Tanaka-Webster connection ∇ on a strictly pseudoconvex CR manifold M . Given a contact form θ on M such that (M, θ) has nonpositive pseudohermitian sectional curvature (kθ(σ) ≤ 0) we show that (M, θ) has no horizontally conjugate points. Moreover, if (M, θ) is a Sasakian manifold such that kθ(σ) ≥ k0 > 0 then we show that the distance between an...
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For submanifolds tangent to the structure vector field in Sasakian space forms, we establish a Chen’s basic inequality between the main intrinsic invariants of the submanifold namely, its pseudosectional curvature and pseudosectional curvature on one side and the main extrinsic invariant namely, squared pseudomean curvature on the other side with respect to the TanakaWebster connection. Moreove...
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 2006
ISSN: 0386-5991
DOI: 10.2996/kmj/1162478771