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Tytuł artykułu

Riemannian Polyhedra and Liouville-Type Theorems for Harmonic Maps

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Treść / Zawartość

Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
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.

Wydawca

Rocznik

Tom

2

Numer

1

Opis fizyczny

Daty

otrzymano
2014-05-06
zaakceptowano
2014-10-14
online
2014-11-28

Twórcy

autor
  • Courant Institute of Mathematical Sciences, New York University

Bibliografia

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Typ dokumentu

Bibliografia

Identyfikatory

Identyfikator YADDA

bwmeta1.element.doi-10_2478_agms-2014-0012
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