5 citations · 9 across the 17 of their papers we have counts for
19 papers
Golden Finsler Geometry: Local Properties and Global Deformations
Ebtsam H. Taha, Bankteshwar Tiwari, A. Soleiman
We introduce the concept of a golden Finsler structure on a finite-dimensional smooth manifold and investigate it from both local (coordinate-based) and global (coordinate-free…
On Locally Dually and Projectively Flat Almost Rational Finsler Metrics
Ghanashyam Kumar Prajapati, Ranadip Gangopadhyay, Bankteshwar Tiwari
In this paper, we investigate Almost Rational Finsler (AR-Finsler) metrics, a class of Finsler metrics whose fundamental tensor admits a decomposition $g_{ij}(x,y)=η(x,y)a_{ij}(x,y…
Finsler structure of the Apollonian weak metric on the unit disc
Alok Kumar Pandey, Ashok Kumar, Bankteshwar Tiwari
In this paper, we {\it find} the Finsler structure of the Apollonian weak metric on the open unit disc in , which turns out to be a Randers type Finsler structure and…
The Funk-Finsler Structure in the Constant Curvature Spaces
Ashok Kumar, Hemangi Madhusudan Shah, Bankteshwar Tiwari
In this paper, we {\it find} the infinitesimal structure of Funk-Finsler metric in spaces of constant curvature. We investigate the geometry of this Funk-Finsler metric by explicit…
On Minkowskian Product Einstein-Finsler spaces
Arti Sahu Gangopadhyay, Ranadip Gangopadhyay, Ghanashyam Kr. Prajapati +1
In this paper we study the Minkowskian product Finsler manifolds. More precisely, we prove that if the Minkowskian product Finsler manifold is Einstein then either the product mani…
The Funk-Finsler structure on the unit disc in the hyperbolic plane
Ashok Kumar, Hemangi Madhusudan Shah, Bankteshwar Tiwari
In this paper, we construct the Funk-Finsler structure in various models of the hyperbolic plane. In particular, in the unit disc of the Klein model, it turns out to be a Randers m…
Isometric models of the Funk disc and the Busemann function
Ashok Kumar, Hemangi Madhusudan Shah, Bankteshwar Tiwari
In this article, we find three isometric models of the Funk disc: Finsler upper half of the hyperboloid of two sheets model, the Finsler band model and the Finsler upper hemi spher…
Anisotropic weighted Levin-Cochran-Lee type inequalities on homogeneous Lie groups
Michael Ruzhansky, Anjali Shriwastawa, Bankteshwar Tiwari
In this paper, we first prove the weighted Levin-Cochran-Lee type inequalities on homogeneous Lie groups for arbitrary weights, quasi-norms, and -and -norms. Then, we der…
The Isoperimetric Problem in Randers Poincaré Disc
Arti Sahu Gangopadhyay, Ranadip Gangopadhyay, Hemangi Madhusudan Shah +1
It is known that a simply connected Riemann surface satisfies the isoperimetric equality if and only if it has constant Gaussian curvature. In this article, we show that Randers Po…
Hardy inequalities on metric measure spaces, IV: The case
Michael Ruzhansky, Anjali Shriwastawa, Bankteshwar Tiwari
In this paper, we investigate the two-weight Hardy inequalities on metric measure space possessing polar decompositions for the case and This result compl…
The Isoperimetric Problem In Randers Planes
Arti Sahu, Ranadip Gangopadhyay, Hemangi Madhusudan Shah +1
In this paper, the isoperimetric problem in Randers planes, , which are slight deformation of the Euclidean plane by suitable one forms …
On Minimal Surfaces of Revolutions Immersed in Deformed Hyperbolic Kropina Space
Ashok Kumar, Ranadip Gangopadhyay, Bankteshwar Tiwari +1
In this paper we consider three dimensional upper half space equipped with various Kropina metrics obtained by deformation of hyperbolic metric of th…
A note on best constants for Weighted Integral Hardy inequalities on homogeneous groups
Michael Ruzhansky, Anjali Shriwastawa, Bankteshwar Tiwari
The main aim of this note is to prove sharp weighted integral Hardy inequality and conjugate integral Hardy inequality on homogeneous Lie groups with any quasi-norm for the range $…
On C3-Like Finsler Metrics Under Ricci Flow
Ranadip Gangopadhyay, Bankteshwar Tiwari
In this paper we have studied the class of Finsler metrics, called C3-like metrics which satisfy the un-normal and normal Ricci flow equation and proved that such metrics are Einst…
On minimal surfaces immersed in three dimensional Kropina Minkowski space
Ranadip Gangopadhyay, Ashok Kumar, Bankteshwar Tiwari
In this paper we consider a three dimensional Kropina space and obtain the partial differential equation that characterizes a minimal surfaces with the induced metric. Using this c…
On almost rational Finsler metrics
Ebtsam H. Taha, Bankteshwar Tiwari
We study a special class of Finsler metrics which we refer to as Almost Rational Finsler metrics (shortly, AR-Finsler metrics). We give necessary and sufficient conditions for an A…
On equivalence of two non-Riemannian curvatures in warped product Finsler metrics
Ranadip Gangopadhyay, Anjali Shriwastawa, Bankteshwar Tiwari
In this paper we study warped product Finsler metrics and show that the notion of isotropic -curvature and isotropic -curvature are equivalent for this class of metrics.
Minimal surfaces in three-dimensional Matsumoto space
Ranadip Gangopadhyay, Bankteshwar Tiwari
In this paper we consider the Matsumoto metric , on the three dimensional real vector space and obtain the partial differential equations that characterize the m…
The global study of Riemannian-Finsler geometry
Katsuhiro Shiohama, Bankteshwar Tiwari
The aim of this article is to present a comparative review of Riemannian and Finsler geometry. The structures of cut and conjugate loci on Riemannian manifolds have been discussed…