Some Curvature Tensor Relations on Nearly Cosymplectic Manifolds with Tanaka-Webster Connection
نویسندگان
چکیده
In this article, some curvature properties with respect to Tanaka-Webster connection on nearly cosymplectic manifolds have been studied.
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...
متن کاملA Basic Inequality for the Tanaka-Webster Connection
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...
متن کاملConservative Projective Curvature Tensor On Trans-sasakian Manifolds With Respect To Semi-symmetric Metric Connection
We obtain results on the vanishing of divergence of Riemannian and Projective curvature tensors with respect to semi-symmetric metric connection on a trans-Sasakian manifold under the condition φ(gradα) = (n− 2)gradβ.
متن کاملOn - Curvature Tensor in Lp-sasakian Manifolds
Some results on the properties of T -flat, quasiT -flat, T -flat, T -flat, T -semi-symmetric, T Ricci recurrent and T - -recurrent LP-Sasakian manifolds are obtained. It is also proved that an LP-Sasakian manifold satisfying the condition T . 0 S is an -Einstein manifold. MSC 2000. 53C15, 53C25, 53C50, 53D15.
متن کاملTHE CONNECTION BETWEEN SOME EQUIVALENCE RELATIONS ON FUZZY SUBGROUPS
This paper, deals with some equivalence relations in fuzzy subgroups. Further the probability of commuting two fuzzy subgroups of some finite abelian groups is defined.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Universal journal of mathematics and applications
سال: 2022
ISSN: ['2619-9653']
DOI: https://doi.org/10.32323/ujma.1067101