On weakly symmetric generalized trans-sasakian manifold

Levejoy S. Das, Ram Nivas, and Rupali Agnihotri. "On weakly symmetric generalized trans-sasakian manifold." Commentationes Mathematicae 54.1 (2014): null. <http://eudml.org/doc/292534>.

@article{LevejoyS2014,
abstract = {In this paper, we have defined the weakly symmetric generalized Trans-Sasakian manifold $G(WS)_n$ and it has been shown that on such manifold if any two of the vector fields $\lambda ,\gamma ,\tau $, defined by equation (0.3) are orthogonal to $\xi $, then the third will also be orthogonal to $\xi $. We have also proved that the scalar curvature $r$ of weakly symmetric generalized Trans-Sasakian manifold $G(WS)_n$, $(n > 2)$ satisfies the equation $r = 2n(\alpha ^2 − \beta ^2)$, where $\alpha $ and $\beta $ are smooth function and $\gamma \ne \tau $.},
author = {Levejoy S. Das, Ram Nivas, Rupali Agnihotri},
journal = {Commentationes Mathematicae},
keywords = {Trans-Sasakian manifold, weakly symmetric, Riemannian manifold, curvature tensor},
language = {eng},
number = {1},
pages = {null},
title = {On weakly symmetric generalized trans-sasakian manifold},
url = {http://eudml.org/doc/292534},
volume = {54},
year = {2014},
}

TY - JOUR
AU - Levejoy S. Das
AU - Ram Nivas
AU - Rupali Agnihotri
TI - On weakly symmetric generalized trans-sasakian manifold
JO - Commentationes Mathematicae
PY - 2014
VL - 54
IS - 1
SP - null
AB - In this paper, we have defined the weakly symmetric generalized Trans-Sasakian manifold $G(WS)_n$ and it has been shown that on such manifold if any two of the vector fields $\lambda ,\gamma ,\tau $, defined by equation (0.3) are orthogonal to $\xi $, then the third will also be orthogonal to $\xi $. We have also proved that the scalar curvature $r$ of weakly symmetric generalized Trans-Sasakian manifold $G(WS)_n$, $(n > 2)$ satisfies the equation $r = 2n(\alpha ^2 − \beta ^2)$, where $\alpha $ and $\beta $ are smooth function and $\gamma \ne \tau $.
LA - eng
KW - Trans-Sasakian manifold, weakly symmetric, Riemannian manifold, curvature tensor
UR - http://eudml.org/doc/292534
ER -