Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Lone, Mohamd Saleem"'
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 147-152 (2024)
An osculating curve is a type of curve in space that holds significance in the study of differential geometry. In this article, we investigate certain geometric invariants of osculating curves on smooth and regularly immersed surfaces under conformal
Externí odkaz:
https://doaj.org/article/a43ec9bce9264970954e5f455d81177b
Autor:
Lone, Mohamd Saleem
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 Legendrian submanifolds.
Comment: Conflict with authors
Comment: Conflict with authors
Externí odkaz:
http://arxiv.org/abs/2011.00055
Autor:
Lone, Mohamd Saleem
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 Scherk surfaces known as affine Scherk surfaces. We find the Dirichlet s
Externí odkaz:
http://arxiv.org/abs/2003.05277
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 submanifolds.
Externí odkaz:
http://arxiv.org/abs/2002.07665
Autor:
Lone, Mohamd Saleem
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 condition for the conformal image of a normal curve. We also find the de
Externí odkaz:
http://arxiv.org/abs/1908.03527
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. We also find an equivalent system of a geodesic curve under the confo
Externí odkaz:
http://arxiv.org/abs/1907.03597
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 remains conformally invariant. It is shown that the normal component and
Externí odkaz:
http://arxiv.org/abs/1907.03550
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 of the tangential and normal components of the curve with respect to th
Externí odkaz:
http://arxiv.org/abs/1906.04738
Autor:
Lone, Mohamd Saleem
A homothetical surface arises as a graph of a function $z = \varphi_1(v_1) \varphi_2(v_2)$. In this paper, we study the homothetical surfaces in three dimensional psuedo-Galilean space$\left(\mathbb{G}_3^1\right)$ satisfying the conditions $\Delta^{I
Externí odkaz:
http://arxiv.org/abs/1811.01617
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.
Externí odkaz:
http://arxiv.org/abs/1810.01082