5 papers
Infinitesimal Conformal Rigidity on Damek-Ricci Spaces
Hiroyasu Satoh, Hemangi Madhusudan Shah
We show that every conformal vector field on a Damek-Ricci space is necessarily Killing, establishing a strong form of infinitesimal conformal rigidity. Although this rigidity phen…
A Constructive Approach to Infinitesimal Conformal Rigidity on Complex Hyperbolic Space
Hiroyasu Satoh, Hemangi Madhusudan Shah
We prove that every conformal vector field on the complex hyperbolic space is Killing for all . Although this rigidity is classically known, our proof is en…
Some Characteristics of Almost -Bach Solitons
Paritosh Ghosh, Hemangi Madhusudan Shah, Arindam Bhattacharyya
In this article, we introduce -Bach tensor corresponding to one form and correspondingly introduce almost -Bach solitons, thereby generalizing the existing notion of Bach…
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…
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…