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-curvature tensor

On contact conformal curvature tensor in LP-Sasakian manifolds

On contact conformal curvature tensor in LP-Sasakian manifolds

... conformal curvature tensor field is of constant  -homothetic sectional curvature [ r  n  3 n  1   ] / n n  1  ...conformal curvature tensor by showing that for n  2 , every  2 ...

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Riemannian Geometry Of The Curvature Tensor

Riemannian Geometry Of The Curvature Tensor

... The curvature tensor is the most important isometry invariant of a Riemannian ...the curvature tensor to obtain topological and geo- metrical ...the curvature tensor has ...

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On contact conformal curvature tensor in trans-Sasakian manifolds

On contact conformal curvature tensor in trans-Sasakian manifolds

... conformal curvature tensor field was introduced and defined by Jeong et ...conformal curvature tensor field defined by Kitahara et ...conformal curvature tensor has also been ...

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CONHARMONIC CURVATURE TENSOR OF  -PARA SASAKIAN 3- MANIFOLDS

CONHARMONIC CURVATURE TENSOR OF -PARA SASAKIAN 3- MANIFOLDS

... Abstract: The present paper deals with the study of 3-dimensional ( ) -para Sasakian manifolds satisfying certain curvature conditions on the conharmonic curvature tensor C . We characterize 3- ...

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Some Results on Projective Curvature Tensor of Nearly Cosymplectic Manifold

Some Results on Projective Curvature Tensor of Nearly Cosymplectic Manifold

... a tensor of type (4,0), it’s called a pro- jective curvature ...this tensor when it’s act on nearly cosymplectic manifold? The answer of this question leads to get an application on Einstein ...

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Curvature tensor of almost $C(lambda)$ manifolds

Curvature tensor of almost $C(lambda)$ manifolds

... quasi-conformal curvature tensor of almost C(λ) ...projective curvature tensor on a Riemannian manifold and in the paper [3] the authors are studied on the Conharmonic and Concircular ...

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

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

... Abstract. The work towards of the attending paper is to interpret the trans-Sasakian manifold equipped with m-projective curvature tensor and its various geometric proper- ties. First, we observe that ...

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7. Some properties of $m-$ projective curvature tensor in  Kenmotsu manifolds

7. Some properties of $m-$ projective curvature tensor in Kenmotsu manifolds

... using tensor calculus in ...negative curvature -1, where R is the Riemannian curvature tensor of type (1, 3) and R(X, Y ) denotes the deriva- tion of the tensor algebra at each point of ...

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On some classes of concircular curvature tensor on Lorentzian para-Sasakian manifolds

On some classes of concircular curvature tensor on Lorentzian para-Sasakian manifolds

... A transformation which transforms every geodesic circle of a Riemannian manifold M into a geodesic circle, is known as concircular transformation ([7], [16]), where geodesic circle means a curve in M whose first ...

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On W7- Curvature Tensor of Generalized Sasakian-Space-Forms

On W7- Curvature Tensor of Generalized Sasakian-Space-Forms

... the curvature of a Riemannian manifold (M; g) plays a fundamental role as well known, the sectional curvature of a manifold determine the curvature tensor R ...sectional curvature c is ...

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Concircular curvature tensor of Kenmotsu manifolds admitting generalized Tanaka-Webster connection

Concircular curvature tensor of Kenmotsu manifolds admitting generalized Tanaka-Webster connection

... concircular curvature tensor of Kenmotsu manifold with respect to generalized Tanaka-Webster connection, whose concircular curvature tensor satisifies certain conditions and it is shown that ...

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On 3 Dimensional Pseudo Quasi Conformal Curvature Tensor on (LCS)n Manifolds

On 3 Dimensional Pseudo Quasi Conformal Curvature Tensor on (LCS)n Manifolds

... a tensor field, called Pseudo-Quasi-Conformal curvature tensor C  on a Riemannian manifold of dimension ( n ≥ 3 ...Concircular curvature tensor as special ...pseudo-quasi-conformal ...

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The generalized $B$ curvature tensor on $(LCS)_{n}$-manifolds

The generalized $B$ curvature tensor on $(LCS)_{n}$-manifolds

... An n-dimensional Lorentzian manifold M is a smooth connected paracompact Hausdorff manifold with a Lorentzian metric g, that is, M admits a smooth symmetric tensor field g of type (0,2) such that for each point p ...

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Study on einstein  kaehlerian decomposable recurrent space of first order

Study on einstein kaehlerian decomposable recurrent space of first order

... of curvature tensor in a recurrent ...recurrent curvature tensor field in a Finsler ...recurrent curvature tensor field in a Kaehlerian ] have studied decomposition of recurrent ...

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On Almost Cosymplectic Manifolds

On Almost Cosymplectic Manifolds

... Key words: Differentiable manifold, vector field, 1-form, Riemannian metric, curvature tensor.. Let there exist a tensor F of type 1,1, a 1-form u, a vector field U, a Riemannian metric [r] ...

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Generalized Sasakian-Space-Forms admitting Quarter–Symmetric Metric Connection

Generalized Sasakian-Space-Forms admitting Quarter–Symmetric Metric Connection

... form [2].Alegre et al. give results in [4] about B. Y. Chen‟s inequality on submanifolds of generalized complex space-forms and generalized Sasakian-space-forms. Al-Ghefari et al. analyse the CR submanifolds of ...

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On a symmetric tensor field in areal space of submetric class

On a symmetric tensor field in areal space of submetric class

... The theory o f isotropic areal space o f submetric class was studied by Kawaguchi and Tandai (1952), Kikuchi (1968) and others . A symmetric curvature tensor field was defined and studied by the present ...

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On Sectional Curvatures of (ε) Sasakian Manifolds

On Sectional Curvatures of (ε) Sasakian Manifolds

... Riemannian curvature tensor of ( )-Sasakian ...φ-sectional curvature, totally real sectional curvature, and totally real bisectional ...

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On a Type of Projective Semi- Symmetric Connection

On a Type of Projective Semi- Symmetric Connection

... The organization of the paper is as follows. After introduction we give some preliminary results in section 2. In sections 3, we present a brief account of special projective semi-symmetric connection. Section 4 is ...

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Almost Hermitian Manifold with Flat Bochner Tensor

Almost Hermitian Manifold with Flat Bochner Tensor

... Bochner tensor was introduced by S. Bochner [3] . He defined this tensor on a Kahler manifold as a formal analogy of the Weyle conformal curvature ...Bochner tensor had a meaning on any almost ...

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