11 citations · 12 across the 4 of their papers we have counts for
7 papers
Isometry theorem of Cartan-Hadamard manifold
Absos Ali Shaikh, Prosenjit Mandal, Chandan Kumar Mondal +1
Cartan-Hadamard manifold is a simply connected Riemannian manifold with non-positive sectional curvature. In this article, we have proved that a Cartan-Hadamard manifold satisfying…
Conformal image of an osculating curve on a smooth immersed surface
Absos Ali Shaikh, Mohamd Saleem Lone, Pinaki Ranjan Ghosh
The main intention of the paper is to investigate an osculating curve under the conformal map. We obtain a sufficient condition for the conformal invariance of an osculating curve.…
Rectifying curves under conformal transformation
Absos Ali Shaikh, Mohamd Saleem Lone, Pinaki Ranjan Ghosh
The main aim of this paper is to investigate the nature of invariancy of rectifying curve under conformal transformation and obtain a sufficient condition for which such a curve re…
Some characterizations of Rectifying and osculating curves on a smooth immersed surface
Absos Ali Shaikh, Pinaki Ranjan Ghosh
The present paper deals with some characterizations of rectifying and osculating curves on a smooth surface with respect to the reference frame $\{\vec{T},\ \vec{N},\ \vec{T}\times…
Normal curves on a smooth immersed surface
Absos Ali Shaikh, Mohamd Saleem Lone, Pinaki Ranjan Ghosh
The aim of this paper is to investigate the sufficient condition for the invariance of a normal curve on a smooth immersed surface under isometry. We also find the the deviations o…
Curves on a smooth surface with position vectors lie in the tangent plane
Absos Ali Shaikh, Pinaki Ranjan Ghosh
The present paper deals with a study of curves on a smooth surface whose position vector always lies in the tangent plane of the surface and it is proved that such curves remain in…
Rectifying curves on a smooth surface immersed in the euclidean space
Absos Ali Shaikh, Pinaki Ranjan Ghosh
The main objective of the present paper is to investigate a sufficient condition for which a rectifying curve on a smooth surface remains invariant under isometry of surfaces, and…