Riemannian Polyhedra and Liouville-Type Theorems for Harmonic Maps

Riemannian Polyhedra and Liouville-Type Theorems for Harmonic Maps

This paper is a study of harmonic maps fromRiemannian polyhedra to locally non-positively curvedgeodesic spaces in the sense of Alexandrov. We prove Liouville-type theorems for subharmonic functionsand harmonic maps under two different assumptions on the source space. First we prove the analogue oft...

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Main Author: Sinaei Zahra
Format: Article
Language:English
Published: De Gruyter 2014-01-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
harmonic maps
riemannian polyhedra
pseudomanifolds
liouville-type theorem
non-negativericci
Online Access:https://doi.org/10.2478/agms-2014-0012
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spelling doaj-ef26a91c19da419ca7654c3c6810df692021-09-06T19:41:04ZengDe GruyterAnalysis and Geometry in Metric Spaces2299-32742014-01-012110.2478/agms-2014-0012agms-2014-0012Riemannian Polyhedra and Liouville-Type Theorems for Harmonic MapsSinaei Zahra0Courant Institute of Mathematical Sciences, New York University This paper is a study of harmonic maps fromRiemannian polyhedra to locally non-positively curvedgeodesic spaces in the sense of Alexandrov. We prove Liouville-type theorems for subharmonic functionsand harmonic maps under two different assumptions on the source space. First we prove the analogue ofthe Schoen-Yau Theorem on a complete pseudomanifolds with non-negative Ricci curvature. Then we study2-parabolic admissible Riemannian polyhedra and prove some vanishing results on them.https://doi.org/10.2478/agms-2014-0012harmonic maps riemannian polyhedrapseudomanifolds liouville-type theorem non-negativericci
collection DOAJ
language English
format Article
sources DOAJ
author Sinaei Zahra
spellingShingle Sinaei Zahra
Riemannian Polyhedra and Liouville-Type Theorems for Harmonic Maps
Analysis and Geometry in Metric Spaces
harmonic maps
riemannian polyhedra
pseudomanifolds
liouville-type theorem
non-negativericci
author_facet Sinaei Zahra
author_sort Sinaei Zahra
title Riemannian Polyhedra and Liouville-Type Theorems for Harmonic Maps
title_short Riemannian Polyhedra and Liouville-Type Theorems for Harmonic Maps
title_full Riemannian Polyhedra and Liouville-Type Theorems for Harmonic Maps
title_fullStr Riemannian Polyhedra and Liouville-Type Theorems for Harmonic Maps
title_full_unstemmed Riemannian Polyhedra and Liouville-Type Theorems for Harmonic Maps
title_sort riemannian polyhedra and liouville-type theorems for harmonic maps
publisher De Gruyter
series Analysis and Geometry in Metric Spaces
issn 2299-3274
publishDate 2014-01-01
description This paper is a study of harmonic maps fromRiemannian polyhedra to locally non-positively curvedgeodesic spaces in the sense of Alexandrov. We prove Liouville-type theorems for subharmonic functionsand harmonic maps under two different assumptions on the source space. First we prove the analogue ofthe Schoen-Yau Theorem on a complete pseudomanifolds with non-negative Ricci curvature. Then we study2-parabolic admissible Riemannian polyhedra and prove some vanishing results on them.
topic harmonic maps
riemannian polyhedra
pseudomanifolds
liouville-type theorem
non-negativericci
url https://doi.org/10.2478/agms-2014-0012
work_keys_str_mv AT sinaeizahra riemannianpolyhedraandliouvilletypetheoremsforharmonicmaps
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