2 papers
math.CV2018
Discreteness of spectrum for the -Neumann Laplacian on manifolds of bounded geometry
Franz Berger
For a Hermitian holomorphic vector bundle over a Hermitian manifold, we consider the Dolbeault Laplacian with -Neumann boundary conditions, which is a self-adjoi…
math.CV2018
Exponential decay of Bergman kernels on complete Hermitian manifolds with Ricci curvature bounded from below
Franz Berger, Gian Maria Dall'Ara, Duong Ngoc Son
Given a smooth positive measure on a complete Hermitian manifold with Ricci curvature bounded from below, we prove a pointwise Agmon-type bound for the corresponding Bergman ke…