Utsav Dewan

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20222026

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math.DG2024

Estimates of the Poisson kernel on negatively curved Hadamard manifolds

Kingshook Biswas, Utsav Dewan, Arkajit Pal Choudhury

Let $M$ be an $n$ -dimensional Hadamard manifold of pinched negative curvature $- b^{2} \leq K_{M} \leq - a^{2}$ . The solution of the Dirichlet problem at infinity for $M$ leads to the cons…

math.DG2023

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…