2 citations · 4 across the 14 of their papers we have counts for
14 papers
Asymptotically harmonic manifolds of dimension 3 with minimal horospheres
Jihun Kim, JeongHyeong Park, Hemangi Madhusudan Shah
In [14], it was shown that, if M is a 3-dimensional asymptotically harmonic with minimal horospheres, then M is flat. However, there is a gap in the proof of this paper. In this pa…
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…
Nature of Some Solitons on Almost coKähler Manifolds and Asymptotically Harmonic Manifolds
Paritosh Ghosh, Hemangi Madhusudan Shah, Arindam Bhattacharyya
In this research, we study the nature of -Einstein and gradient -Einstein soliton in the framework of almost coKähler manifolds and -almost coKähler manifolds. We fin…
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…
An isoperimetric inequality for the harmonic mean of Steklov eigenvalues in rank one symmetric spaces
Hemangi Madhusudan Shah, Sheela Verma
In this note, an isoperimetric inequality for the harmonic mean of lower order Steklov eigenvalues is proved on bounded domains in noncompact rank- symmetric spaces. This work e…
Some Solitons on Homogeneous Almost -Cosymplectic -Manifolds and Harmonic Manifolds
Naeem Ahmad Pundeer, Paritosh Ghosh, Hemangi Madhusudan Shah +1
In this paper, we investigate the nature of Einstein solitons, whether it is steady, shrinking or expanding on almost -cosymplectic -manifolds. We also prove that a simply co…