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Trans-Sasakian manifold

CR-SUBMANIFOLDS OF A NEARLY -LORENTZIAN TRANS SASAKIAN MANIFOLD

CR-SUBMANIFOLDS OF A NEARLY -LORENTZIAN TRANS SASAKIAN MANIFOLD

... δ-Lorentzian trans Sasakian manifold, generalizing the results of a nearly δ-Lorentzian trans Sasakian manifold and thus those of Sasakian ...δ-Lorentzian trans ...

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Some Properties of CR Submanifolds of a Nearly Trans Sasakian Manifold with a Semi Symmetric Non Metric Connection

Some Properties of CR Submanifolds of a Nearly Trans Sasakian Manifold with a Semi Symmetric Non Metric Connection

... Kaehler manifold [1]. Later on, CR -submanifolds of a Sasakian manifold were studied by ...metric manifold known as trans-Sasakian manifold ...-Kenmotsu manifold ...

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ON TRANS-SASAKIAN MANIFOLD EQUIPPED WITH m-PROJECTIVE CURVATURE TENSOR

ON TRANS-SASAKIAN MANIFOLD EQUIPPED WITH m-PROJECTIVE CURVATURE TENSOR

... conservative trans-Sasakian man- ifold is of constant ...flat trans-Sasakian manifold to be η-Einstein and quasi m-projectively flat is of constant ...symmetric trans- ...

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Some results on Invariant Submanifolds in an Indefinite Trans-Sasakian Manifold

Some results on Invariant Submanifolds in an Indefinite Trans-Sasakian Manifold

... tran sasakian manifold of type (α, β).Trans sasakian manifold is an important kind of sasakian manifold such that α = 1 and β = ...

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Torseforming Curvature and Ricci Tensor in a Trans- Sasakian Manifold

Torseforming Curvature and Ricci Tensor in a Trans- Sasakian Manifold

... flat manifold M n (whose dimension is a grater than n) admits a proper concircular tensor field, then the manifold is a sub-projective ...the trans-Sasakian manifold M n admits proper ...

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CR submanifolds of a nearly trans Sasakian manifold

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 ...

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10. On $\epsilon $-Trans-Sasakian manifolds

10. On $\epsilon $-Trans-Sasakian manifolds

... Abstract. In this paper we study (ǫ)−trans-Sasakian manifolds and show their existence by an example. Some basic results regarding to such manifolds have been obtained in this context. Conformally flat and ...

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Geometric inequalities for warped product bi slant submanifolds with a warping function

Geometric inequalities for warped product bi slant submanifolds with a warping function

... Our work is outlined as follows: In Sect. 2, we review some basic concepts and ad- dress the study of bi-slant submanifolds of nearly trans-Sasakian manifolds. In Sect. 3, we prepare lemmas to use in ...

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Vol 2, No 7 (2011)

Vol 2, No 7 (2011)

... I n this paper we study some properties of curvature tensor, projective curvature tensor with respect to semi-symmetric metric connection in a k-contact and trans-Sasakian manifold.. Fu[r] ...

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Ricci Solitons in (ε,δ)-Trans-Sasakian Manifolds

Ricci Solitons in (ε,δ)-Trans-Sasakian Manifolds

... time-like trans-Sasakian manifold and when ε = 1 and index of g is even, then M is a space-like trans-Sasakian ...usual trans-Sasakian manifold for ε = 1 and index ...

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On semi-invariant submanifolds of a nearly trans-hyperbolic Sasakian manifold

On semi-invariant submanifolds of a nearly trans-hyperbolic Sasakian manifold

... a trans Sasakian manifold has been ...nearly trans hyperbolic Sasakian ...nearly trans hyperbolic Sasakian manifold is ...nearly trans hyperbolic ...

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TRANS-SASAKIAN MANIFOLDS SATISFYING CERTAIN CONDITIONS

TRANS-SASAKIAN MANIFOLDS SATISFYING CERTAIN CONDITIONS

... Riemannian manifold is said to be the manifold of quasi-constant curvature if the curvature tensor 0 R satisfies the relation ...flat trans-Sasakian manifold is a manifold of ...

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Some Results on Warped Product Submanifolds of a Sasakian Manifold

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 Ricci solitons in LP-Sasakian manifolds

On Ricci solitons in LP-Sasakian manifolds

... In this paper we study Ricci solitons in Lorentzian para-Sasakian manifolds. It is proved that the Ricci soliton in a  2 n  1  -dimensinal LP-Sasakian manifold is shrinking. It is also shown that ...

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Vol 3, No 1 (2012)

Vol 3, No 1 (2012)

... [6] Golab, S., On semi-symmetric and quarter- symmetric linear connections, Tensor N. S., 29(1975), 249-254. [7] Mishra, R. S. and Pandey, S. N., On quarter-symmetric metric F-connections, Tensor, N. S. 34(1980), 1-7. ...

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On a class of generalized φ-recurrent Sasakian manifold

On a class of generalized φ-recurrent Sasakian manifold

... metric manifold. An almost contact metric manifold M(ϕ , ξ , η , g) with dη(X, Y) = (X, Y) , being the fundamental 2-form of M(ϕ , ξ , η , g) and is defined by (X, Y ) = g(X, ϕY), is a contact metric ...

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INVARIANT SUBMANIFOLD OF   STRUCTURE MANIFOLD

INVARIANT SUBMANIFOLD OF STRUCTURE MANIFOLD

... Prasad : Semi-invariant submanifolds of a Lorentzian Para- sasakian manifold, Bull Malaysian Math.. Careres : Linear invairant of Riemannian product manifold, Math Proc.[r] ...

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P Sasakian Manifold with Quarter Symmetric Non Metric Connection

P Sasakian Manifold with Quarter Symmetric Non Metric Connection

... for any vector fields X, Y on a manifold, where u is a 1−form and ϕ is a tensor of type (1, 1). If ϕ = I, then the quarter- symmetric connection is reduced to a semi-symmetric connection. Hence quarter-symmetric ...

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Slant lightlike submersions from an indefinite nearly Kahler manifold into a lightlike manifold

Slant lightlike submersions from an indefinite nearly Kahler manifold into a lightlike manifold

... Abstract. As a generalization of almost Hermitian submersions, we introduce slant lightlike submersion from an indefinite nearly K¨ahler manifold into a lightlike manifold. We establish the existence ...

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Vol 3, No 7 (2012)

Vol 3, No 7 (2012)

... Torse foming vector fields were introduced by K.Yano [9] in 1944 and the complex analogue of a torse forming vector field was introduced by S.Yamaguchi [8] in 1979. This vector field is known as a Kahlerian torse forming ...

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