activity
20162026
most citedOn some curves with the modified orthogonal frame in Euclidean 3-space

29 citations · 40 across the 10 of their papers we have counts for

collaborators

14 papers

math.DG2026

Hineva Inequality for Submanifolds of Real Space Forms with Semi-Symmetric Non-Metric Connection

M. S. Lone, M. A. Lone

In this paper, we establish the Hineva inequality for submanifolds of a real space form endowed with a semi-symmetric non-metric connection. We derive a sharp lower bound for the R…

math.DG2020

Chen Inequality for Statistical Submanifolds of Cosymplectic Manifolds

Mohamd Saleem Lone

In the present paper, we obtain the basic Chen inequalities for the statistical submanifolds of statistical cosymplectic manifolds. Also, we discuss the same inequalities for Legen…

math.DG2020

On the height function of the affine minimal translation surfaces

Mohamd Saleem Lone

In this paper, using the Weierstrass-Enneper formula and the hodographic coordinate system, we find the relationships between the Ramanujan identity and the generalized class of Sc…

math.DG2020

Basic inequality for statistical submanifolds of quaternion Kaehler-like statistical manifolds

Mohamd Saleem Lone, Mehraj Ahmad Lone

In the present paper, we obtain the basic Chen inequalities for submanifolds of quaternion Kaehler-like statistical manifolds. Also, we discuss the same inequality for Lagrangian s…

math.GM2019

Geometric invariants of normal curves under conformal transformation in

Mohamd Saleem Lone

In this paper, we investigate the geometric invariant properties of a normal curve on a smooth immersed surface under conformal transformation. We obtain an invariant-sufficient co…

math.GM2019★ 11 cited

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.…

math.GM2019

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…

math.GM2019

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…

math.DG2018★ 29 cited

On some curves with the modified orthogonal frame in Euclidean 3-space

Mohamd Saleem Lone, Hasan Es, Murat Kemal Karacan +1

In this paper, we study helices and the Bertrand curves. We obtain some of the classification results of these curves with respect to the modified orthogonal frame in Euclidean 3-s…

math.DG2018

Homothetical surfaces in three dimensional psuedo-Galilean space

Mohamd Saleem Lone

A homothetical surface arises as a graph of a function . In this paper, we study the homothetical surfaces in three dimensional psuedo-Galilean space$\left(\…

math.DG2018

Spherical indicatrices with the modified orthogonal frame

Mohamd Saleem Lone, Murat Kemal Karacan, Yilmaz Tuncer +1

In this paper, we study spherical images of the modified orthogonal vector fields and Darboux vector of a regular curve which lies on the unit sphere in Euclidean 3-space.

math.DG2018

Mannheim curves with modified orthogonal frame in Euclidean 3-space

Mohamd Saleem Lone, Hasan Es, Murat Kemal Karacan +1

In this paper, we investigate Mannheim pairs, Frenet-Mannheim curves and Weakened Mannheim curves with respect to the modified orthogonal frame in Euclidean 3-space(E 3 ). We obtai…

math.DG2016

Transversal intersection of Hypersurfaces in R^5

Mohamd Saleem Lone, O. Aleessio, Mohammad Jamali +1

In this paper we present the algorithms for calculating the differential geometric properties {t,n,b1,b2,b3,k1,k2,k3,k4} along-with geodesic curvature and geodesic torsion of the t…

math.DG2016

Hemi-slant submanifolds of cosymplectic manifolds

Mehraj Ahmad Lone, Mohamd Saleem Lone, Mohammad Hasan Shahid

In this paper we study the hemi-slant submanifolds of cosymplectic manifolds. Necessary and sufficient conditions for distributions to be integrable are worked out. Some important…