On p-Parabolicity of Riemannian Submersions

2015/08/04 by Maria Andrade, Andrade, Maria, Pietro da Silva +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1508.00767

openalex publication_date 2015/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide some criteria to p-parabolicity of Riemannian submersions. In particular, if N is p-parabolic and π:M→ N is a Riemannian submersion with uniformly bounded volume of fibers, then M is also p-parabolic. In the case of warped manifolds we characterize p-parabolicity in terms of a volume growth condition.

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