arXiv subjects

Shashikant Pandey

Publications and source records attributed to Shashikant Pandey.

2 recordsLinked to original sources

arXiv2022

Semi-invariant Conformal submersions with horizontal Reeb vector field

The present paper deals with the characterization of a new submersion named semi-invariant conformal $ζ^{\perp }$-Riemannian submersion from almost contact metric manifolds onto Riemannian manifolds which is the generalization of some known submersions on Riemannian manifolds. We give important and adequate conditions for such submersions to be totally geodesic and harmonic. Also, few examples are examined for such submersions endowed with horizontal Reeb vector field.

math.DG↗

arXiv2020

A classification of $ N(κ)$-contact metric manifolds with $ \mathcal{T} $-curvature tensor

In this paper, we present a classification of $ N(κ)$-contact metric manifolds with using some special flatness conditions on $ \mathcal{T} $-curvature tensor. We examine $\mathcal{T}$-flat, quasi-$\mathcal{T}$-flat, $ ξ$-$\mathcal{T}$-flat and $ φ$-$\mathcal{T}$-flat $ N(κ)$-contact metric manifolds .Also,we consider the conditions $ \mathcal{T}(ξ,X).R=0 $ and $ \mathcal{T}(ξ,X).S=0 $ for the Riemannian curvature tensor $ R $ and Ricci curvature tensor $ S $. Thus, we obtain a classification of $ N(κ)$-contact metric manifolds.

math.DG↗