12 papers
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…
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…
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…
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…
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…
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.…