paper

q-parabolicity of stratified pseudomanifolds and other singular spaces

arXiv:1505.06892

Abstract

The main result of this paper is a sufficient condition in order to have a compact Thom-Mather stratified pseudomanifold endowed with a -iterated edge metric on its regular part -parabolic. Moreover, besides stratified pseudomanifolds, the -parabolicity of other classes of singular spaces, such as compact complex Hermitian spaces, is investigated.

arXiv comment21 pages; Version 3: Several new results have been added, and everything has been specialized to the Riemannian setting. To appear in the Annals of Global Analysis and Geometry