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 ...
9
6. Some properties of LP-Sasakian manifolds equipped with $m-$projective curvature tensor
... − projective curvature ...− projective curvature ...− projective curvature tensor and concircular curvature tensor coincide in an Einstein LP-Sasakian ...
9
7. Some properties of $m-$ projective curvature tensor in Kenmotsu manifolds
... an m−projective curvature tensor in a K¨ ahler as well as in Sasakian manifolds. The purpose of this paper is to study the properties of m−projective curvature tensor in Kenmotsu ...
9
On Conservative pseudo projective curvature tensor with respect to semi-symmetric metric connection on K-Contact and Trans-Sasakian Manifolds.
... In this section we prove the following: Let in a trans-Sasakian manifold M n (n > 2) under the condition (2.14) admits a semi-symmetric metric connection the Pseudo projective curvature tensor ...
11
Some Results on Projective Curvature Tensor of Nearly Cosymplectic Manifold
... conformal curvature tensor, the projective curvature tensor is another important tensor from the differential geometric point of ...constant curvature. Thus the ...
11
6. Some results on $(LCS)_{2n+1}$-Manifolds
... A non-flat Riemannian manifold M is said to be pseudo projectively recurrent if the pseudo-projective curvature tensor P satisfies the condition ∇P = A ⊗ P , where A is an everywhere non-zero 1-form. ...
7
10. Some properties of a quarter-symmetric metric connection on a Sasakian manifold
... the projective curvature tensor with respect to the quarter-symmetric metric connection and also characterized 𝜉−projectively flat and 𝜙−projectively flat Sasakian manifold with respect to the quarter- ...
10
TRANS-SASAKIAN MANIFOLDS SATISFYING CERTAIN CONDITIONS
... Ricci tensor for arbitrary vector fields X, Y , Z. Such a tensor field W ∗ is known as m−projective curvature ...m−projective curvature tensor in Sasakian and K¨ ahler ...
10
On W7- Curvature Tensor of Generalized Sasakian-Space-Forms
... vature tensor. De and Sarakar [16] have studied generalized Sasakian-space-forms regarding projective curvature tensor. Motivated by the above studies, in the present paper, we study ‡atness ...
13
Curvature tensor of almost $C(lambda)$ manifolds
... quasi-conformal curvature tensor of almost C(λ) ...pseudo projective curvature tensor on a Riemannian manifold and in the paper [3] the authors are studied on the Conharmonic and ...
6
On a Type of Projective Semi- Symmetric Connection
... as projective semi-symmetric ...of projective semi-symmetric connection and showed that this invariant could degenerate into the Weyl projective curvature tensor under certain ...on ...
9
Projective Tensor Products of C* Algebras
... space tensor norm, the embedding µ is isometic if one of the C * -algebra has the metric approximation property, which follows directly by using ([6], Theorem ...
13
Some invariant theorems on geometry of Einstein non symmetric field theory
... To establish expressions for the curvature tensor Ricci tensor Sik and scalar curvature S of U for arbitrary n 2, it is necessary to give transformation between U and r for arbitrary n [r] ...
10
11. On a type of Kenmotsu manifold
... In 1958, Boothby and Wong [2] studied odd dimensional manifolds with con- tact and almost contact structures from topological point of view. Sasaki and Hatakeyama [12] re-investigated them using tensor calculus in ...
16
On The Total Curvature And Betti Numbers Of Complex Projective Manifolds
... It is the close relationship between the Chern-Lashof theorems and Weyl’s tube formula, and the existence of a parallel to Weyl’s tube formula for complex projec- tive manifolds in the results above, that motivated our ...
80
CONHARMONIC CURVATURE TENSOR OF -PARA SASAKIAN 3- MANIFOLDS
... The present paper is organized as follows: After preliminaries, in Section 3, we study -conharmonically flat ( ) -para Sasakian manifolds of dimension 3. Section 4 is devoted to study 3-dimensional ( ) -para Sasakian ...
6
On contact conformal curvature tensor in trans-Sasakian manifolds
... W ⊕ W corresponds to the class of Hermitian manifolds. Oubina [2] studied a new class of almost contact metric structure, called trans-Sasakian which is an analogue of a locally conformal Kaehler structure on an almost ...
9
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 ...
7
Torseforming Curvature and Ricci Tensor in a Trans- Sasakian Manifold
... concircular tensor field, then the manifold is a sub-projective ...concircular tensor field, namely the tensor fieldU , I can state as follows: ...
7
On Generalized Phi-Recurrent Kenmotsu Manifolds
... 1) tensor field ϕ, the associated vector field ξ, a contact form η and the associated Riemannian metric ...using tensor calculus in ...negative curvature − 1, where R is the Riemannian curvature ...
9