Sasakian manifold.
ON TRANS-SASAKIAN MANIFOLD EQUIPPED WITH m-PROJECTIVE CURVATURE TENSOR
... contract manifold, called trans-Sasakian manifold, which is of type (0, 0), (α, 0) and (0, β) are respectively, familiar as the cosym- plectic, α-Sasakian and β-Kenmotsu manifold, α, β ...
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Some Curvature Conditions on a Para Sasakian Manifold with Canonical Paracontact Connection
... para-Sasakian manifold is of constant scalar ...para-Sasakian manifold satisfying Zξ, X · R 0 with respect to canonical paracontact connection, is either of constant scalar curvature or an ...
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CR-submanifolds of a nearly hyperbolic Sasakian manifold with a semi-symmetric metric connection
... Kaehler manifold as a generalization of invariant and anti-invariant submanifolds ...of Sasakian manifold was studied by ...trans-hyperbolic Sasakian manifold studied by Bhatt and Dube ...
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Torseforming Curvature and Ricci Tensor in a Trans- Sasakian Manifold
... Trans-Sasakian Manifold. The sectional curvature of a plane section of such a manifold containing U is a constant, says C ...Riemannian manifold with C >0, (2) global Riemannian products of ...
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10. Some properties of a quarter-symmetric metric connection on a Sasakian manifold
... 𝑆(𝑌, 𝑍 ) = 𝑆(𝑌, 𝑍 ) − 2𝑑𝜂(𝜙𝑍, 𝑌 ) + 𝑔(𝑌, 𝑍 ) + (𝑛 − 2)𝜂(𝑌 )𝜂(𝑍 ), (5.2) where ˜ 𝑆 and 𝑆 are the Ricci tensors of the connections ˜ ∇ and ∇ respectively. From (5.2) it is clear that in a Sasakian manifold ...
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On a class of generalized φ-recurrent Sasakian manifold
... Riemannian manifold has been weakened by several authors in many ways to a different ...-recurrent Sasakian man- ...Sasakian manifold. The extended generalized ϕ -recurrent property in ...
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Some results on Invariant Submanifolds in an Indefinite Trans-Sasakian Manifold
... Abstract: The purpose of this paper is to study invariant submanifolds in a indefinite trans-Sasakian manifold. Necessary and sufficient conditions are given on an submanifold of a indefinite ...
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P Sasakian Manifold with Quarter Symmetric Non Metric Connection
... Abstract The object of the present paper is to study on a P-Sasakian manifold with quarter symmetric non-metric connection. In this paper, we consider some properties of the curvature tensor, projective ...
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On semi-invariant submanifolds of a nearly trans-hyperbolic Sasakian manifold
... trans Sasakian manifold has been ...Sasakian manifold. Nejenhuis tensor in a nearly trans hyperbolic Sasakian manifold is ...hyperbolic Sasakian manifold are ...
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SOME PROPERTIES OF HYPERBOLIC CONTACT MANIFOLD IN A QUASI SASAKIAN MANIFOLD
... The hyperbolic contact manifold was given by Sasaki (1960), A. Al-Aqeel, A. Hamoli and M. D. Upadhyay (1987) have studied some properties of such manifold.CR-submanifold of a Kahlerian manifold has been ...
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CR-SUBMANIFOLDS OF A NEARLY -LORENTZIAN TRANS SASAKIAN MANIFOLD
... Proof. First suppose that the distribution D ⊥ is integrable. Then [Y, Z]D ⊥ for any Y, ZD ⊥ . Since P is a projection operator on D, so P [Y, Z] = 0. Thus from (64) we get (69). Conversely, we suppose that (69) holds. ...
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CR submanifolds of a nearly trans Sasakian manifold
... a Sasakian manifold have been studied by Kobayashi [6], Shahid et ...metric manifold known as trans- Sasakian manifold ...β-Kenmotsu manifold [5]. Geometry of CR-submanifold of ...
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Some Properties of CR Submanifolds of a Nearly Trans Sasakian Manifold with a Semi Symmetric Non Metric Connection
... trans-Sasakian manifold with a semi symmetric non-metric ...trans-Sasakian manifold with a semi symmetric non- metric connection are ...
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A Study on Three Dimensional Quasi-Sasakian Manifold
... quasi-Sasakian manifold and 3-dimensional quasi-sasakian manifold with ˜ ...quasi sasakian manifold is η -Einstein if a+b6=0 ...
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On pseudo W ̃2 flat LP-Sasakian Manifold with a coefficient α
... differential manifold endowed with a (1,1) tensor field 𝜙,a contravariant vector field ξ, a covariant vector field η and a Lorentzian metric 𝑔 of type (0,2) such that for each 𝑝𝜖𝑀, the tensor 𝑔 𝑝 : 𝑇 𝑝 𝑀 ...
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Some Results on Warped Product Submanifolds of a Sasakian Manifold
... metric manifold M is a submanifold which admits two orthogonal complementary distributions D and D θ such that D is invariant under φ and D θ is slant with slant angle θ / 0, that is, φD D and φZ makes a constant ...
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On W7- Curvature Tensor of Generalized Sasakian-Space-Forms
... trans Sasakian manifold with ; depending on is a generalized Sasakian- space-forms ...generalized Sasakian-space- ...generalized Sasakian- space-forms [12; ...
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Certain Results on η-RICCI Solitions in α-Sasakian Manifolds
... In the present paper, we study α-Sasakian η-Ricci solitons. The paper is organised as follows: Section 2 is devoted to preliminaries on α-Sasakian manifolds. In section 3, It is shown that a symmetric ...
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4. On concircularly $\phi-$recurrent Kenmotsu manifolds
... Riemannian manifold has been studied by many authors in several ways to a different ...symmetric Sasakian manifold and obtained their several interesting results ...Kenmotsu manifold and ...
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Vol 5, No 3 (2014)
... Then 𝛻𝛻� is said to be a quarter-symmetric metric connection. The paper is organized as follows. In section 2, we give a brief account of P- Sasakian manifold. In section 3, we establish the relation ...
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