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 $-b^2\le K_M\le -a^2$. The solution of the Dirichlet problem at infinity for $M$ leads to the cons…