q-parabolicity of stratified pseudomanifolds and other singular spaces

Franceso Bei; Batu Güneysu

q-parabolicity of stratified pseudomanifolds and other singular spaces

Probability 2016-10-13 v3 Differential Geometry Functional Analysis

Authors: Franceso Bei , Batu Güneysu

Abstract

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

Keywords

q-parabolicity stratified pseudomanifold singular space Thom-Mather stratification iterated edge metric compact complex Hermitian space

Cite

@article{arxiv.1505.06892,
  title  = {q-parabolicity of stratified pseudomanifolds and other singular spaces},
  author = {Franceso Bei and Batu Güneysu},
  journal= {arXiv preprint arXiv:1505.06892},
  year   = {2016}
}

Comments

21 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

q-parabolicity of stratified pseudomanifolds and other singular spaces

Abstract

Keywords

Cite

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