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arXiv · 1209.5889

Riemannian Polyhedra and Liouville-type Theorems for Harmonic maps

Zahra Sinaei
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Abstract

This paper is a study of harmonic maps from Riemannian polyhedra to (locally) non-positively curved geodesic spaces in the sense of Alexandrov. We prove Liouville-type theorems for subharmonic functions and harmonic maps under two different assumptions on the source space. First we prove the analogue of the Schoen-Yau Theorem on a complete (smooth) pseudomanifolds with non-negative Ricci curvature. Then we study 2-parabolic admissible Riemannian polyhedra and prove some vanishing results on them.

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Zahra Sinaei. 2014-12-01. Riemannian Polyhedra and Liouville-type Theorems for Harmonic maps. https://arxiv.org/abs/1209.5889

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