17 citations · 55 across the 31 of their papers we have counts for
10 papers · 1 filter
Estimates of the Poisson kernel on negatively curved Hadamard manifolds
Kingshook Biswas, Utsav Dewan, Arkajit Pal Choudhury
Let be an -dimensional Hadamard manifold of pinched negative curvature . The solution of the Dirichlet problem at infinity for leads to the cons…
Restricted mean value property on Riemannian manifolds
Kingshook Biswas, Utsav Dewan
A well studied classical problem is the harmonicity of functions satisfying the restricted mean-value property (RMVP). While this has so far been studied mainly for domains in $\ma…
On Sullivan's construction of eigenfunctions via exit times of Brownian motion
Kingshook Biswas
The purpose of this note is to give details for an argument of Sullivan to construct eigenfunctions of the Laplacian on a Riemannian manifold using exit times of Brownian motion \c…
The Fourier transform on harmonic manifolds of purely exponential volume growth
Kingshook Biswas, Gerhard Knieper, Norbert Peyerimhoff
Let be a complete, simply connected harmonic manifold of purely exponential volume growth. This class contains all non-flat harmonic manifolds of non-positive curvature and, in…
Moebius rigidity for simply connected, negatively curved surfaces
Kingshook Biswas
Let be complete, simply connected Riemannian surfaces with pinched negative curvature . We show that if is a Moebius hom…
Moebius rigidity for compact deformations of negatively curved manifolds
Kingshook Biswas
Let be a complete, simply connected Riemannian manifold with sectional curvatures satisfying for some . Let be a Ri…