arXiv subjects

Dhruwa Narain

Publications and source records attributed to Dhruwa Narain.

2 recordsLinked to original sources

arXiv2012

Covariant almost analytic vector field on Q - Quasi umbilical hypersurface of a Sasakian manifold

In this paper we have studied the properties of covariant almost analytic vector field on Q - quasi umbilical hypersurface $M$ of a Sasakian manifold $\tilde M$ with $(ϕ, g, u, v, λ)-$structure and obtained the scalars $α$ and $β$ using $1 - form u, v$ covariant almost analytic for the hypersurface $M$ to be totally umbilical and cylindrical.

math.DG↗

arXiv2012

Parallel vector fields on the noninvariant hypersurface of a Sasakian manifold

In 1970, Samuel I. Goldberg and Kentaro Yano defined the notion of noninvariant hypersurface of a Sasakian manifold [1]. In this paper we have studied the properties of parallel vector fields with respect to induced connection on the noninvariant hypersurface $M$ of a Sasakian manifold $\tilde M$ with $(ϕ, g, u, v, λ)-$ structure and proved that if the vector field $V$ is parallel with respect to induced connection on $M$ then $M$ is totally geodesic.

math.DG↗