Geodesic
Riemannian Polyhedra and Liouville-Type Theorems for Harmonic Maps
Analysis and Geometry in Metric Spaces, Tome 2 (2014) no. 1.

Voir la notice de l'article provenant de la source The Polish Digital Mathematics Library

This paper is a study of harmonic maps fromRiemannian 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 pseudomanifolds with non-negative Ricci curvature. Then we study 2-parabolic admissible Riemannian polyhedra and prove some vanishing results on them.
Mots-clés : Harmonic maps, Riemannian polyhedra, pseudomanifolds, Liouville-type theorem, non-negativeRicci 
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     author = {Sinaei, Zahra},
     title = {Riemannian {Polyhedra} and {Liouville-Type} {Theorems} for {Harmonic} {Maps}},
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Sinaei, Zahra. Riemannian Polyhedra and Liouville-Type Theorems for Harmonic Maps. Analysis and Geometry in Metric Spaces, Tome 2 (2014) no. 1. http://geodesic.mathdoc.fr/item/AGMS_2014_2_1_a10/