scholarly journals On the Conharmonic Curvature Tensor of Generalized Sasakian-Space-Forms

ISRN Geometry ◽  
2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
U. C. De ◽  
R. N. Singh ◽  
Shravan K. Pandey
Keyword(s):  
Curvature Tensor ◽  
Space Forms ◽  
Sasakian Space Forms ◽  
Conharmonic Curvature Tensor

The object of the present paper is to characterize generalized Sasakian-space-forms satisfying certain curvature conditions on conharmonic curvature tensor. In this paper we study conharmonically semisymmetric, conharmonically flat, -conharmonically flat, and conharmonically recurrent generalized Sasakian-space-forms. Also generalized Sasakian-space-forms satisfying and have been studied.

scholarly journals E-Bochner curvature tensor on generalized Sasakian space forms

2016 ◽  
Vol 354 (8) ◽  
pp. 835-841 ◽  
Author(s):  
D.G. Prakasha ◽  
Vasant Chavan
Keyword(s):  
Curvature Tensor ◽  
Space Forms ◽  
Sasakian Space Forms

scholarly journals Pseudosymmetry properties of generalised Wintgen ideal Legendrian submanifolds

Filomat ◽  
2019 ◽  
Vol 33 (4) ◽  
pp. 1209-1215
Author(s):  
Aleksandar Sebekovic ◽  
Miroslava Petrovic-Torgasev ◽  
Anica Pantic
Keyword(s):  
Curvature Tensor ◽  
Ricci Tensor ◽  
Space Forms ◽  
Equality Case ◽  
Conformal Curvature ◽  
Conformal Curvature Tensor ◽  
Sasakian Space Forms ◽  
Legendrian Submanifold ◽  
Legendrian Submanifolds ◽  
Weyl Conformal Curvature Tensor

For Legendrian submanifolds Mn in Sasakian space forms ?M2n+1(c), I. Mihai obtained an inequality relating the normalised scalar curvature (intrinsic invariant) and the squared mean curvature and the normalised scalar normal curvature of M in the ambient space ?M (extrinsic invariants) which is called the generalised Wintgen inequality, characterising also the corresponding equality case. And a Legendrian submanifold Mn in Sasakian space forms ?M2n+1(c) is said to be generalised Wintgen ideal Legendrian submanifold of ?M2n+1(c) when it realises at everyone of its points the equality in such inequality. Characterisations based on some basic intrinsic symmetries involving the Riemann-Cristoffel curvature tensor, the Ricci tensor and the Weyl conformal curvature tensor belonging to the class of pseudosymmetries in the sense of Deszcz of such generalised Wintgen ideal Legendrian submanifolds are given.

scholarly journals QUASI-CONFORMAL CURVATURE TENSOR OF GENERALIZED SASAKIAN-SPACE-FORMS

2020 ◽  
Vol 35 (1) ◽  
pp. 089
Author(s):  
Braj B. Chaturvedi ◽  
Brijesh K. Gupta
Keyword(s):  
Curvature Tensor ◽  
Ricci Tensor ◽  
Space Form ◽  
Riemannian Curvature ◽  
Space Forms ◽  
Conformal Curvature ◽  
Conformal Curvature Tensor ◽  
Sasakian Space Forms ◽  
Riemannian Curvature Tensor

The present paper deals the study of generalised Sasakian-space-forms with the conditions Cq(ξ,X).S = 0, Cq(ξ,X).R = 0 and Cq(ξ,X).Cq = 0, where R, S and Cq denote Riemannian curvature tensor, Ricci tensor and quasi-conformal curvature tensor of the space-form, respectively and at last, we have given some examples to improve our results.

On generalized Sasakian-space-forms with M-projective curvature tensor

2018 ◽  
Vol 9 (1) ◽  
pp. 67-73 ◽  
Author(s):  
Uday Chand De ◽  
Abdul Haseeb
Keyword(s):  
Curvature Tensor ◽  
Curvature Condition ◽  
Space Forms ◽  
Content Type ◽  
Sasakian Space Forms ◽  
Projective Curvature ◽  
Projective Curvature Tensor ◽  
Graphic Content

AbstractThe object of the present paper is to study generalized Sasakian-space-forms satisfying the curvature condition{P(\xi,Y)\cdot W=0}. Moreover, ϕ-M-projectively semisymmetric and ϕ-pseudo-projectively semisymmetric generalized Sasakian-space-forms are also studied.

Generalized Sasakian-space-forms Admitting W2-curvature Tensor

2019 ◽  
Vol 10 (6) ◽  
pp. 1314-1321
Author(s):  
Abhishek Kushwaha ◽  
Dhruwa Narain
Keyword(s):  
Curvature Tensor ◽  
Space Forms ◽  
Sasakian Space Forms

scholarly journals W₂-Curvature Tensor on Generalized Sasakian Space Forms

Cubo (Temuco) ◽  
2018 ◽  
Vol 20 (1) ◽  
pp. 17-29
Author(s):  
Venkatesha ◽  
Shanmukha B.
Keyword(s):  
Curvature Tensor ◽  
Space Forms ◽  
Sasakian Space Forms

scholarly journals On  0 W Curvature Tensor of Generalized Sasakian-Space-Forms

2017 ◽  
Vol 29 (10) ◽  
pp. 427-439
Author(s):  
SHYAM KISHOR ◽  
◽  
PUSHPENDRA VERMA ◽  
Keyword(s):  
Curvature Tensor ◽  
Space Forms ◽  
Sasakian Space Forms

scholarly journals ON m-PROJECTIVE CURVATURE TENSOR OF GENERALIZED SASAKIAN-SPACE-FORMS

2018 ◽  
pp. 361
Author(s):  
Shravan K. Pandey ◽  
R.N. Singh
Keyword(s):  
Curvature Tensor ◽  
Space Forms ◽  
Sasakian Space Forms ◽  
Projectively Flat ◽  
Projective Curvature ◽  
Projective Curvature Tensor

\begin{abstract}The object of the present paper is to characterize generalized Sasakian-space-forms satisfying certain curvature conditions on m-projective curvature tensor. In this paper, we study m-projectively semisymmetric, m-projectively flat, $\xi$-m-projectively flat, m-projectively recurrent generalized Sasakian-space-forms. Also $W^*.S = 0$ and $W^*.R= 0$ on generalized Sasakian-space-forms are studied.\end{abstract}

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