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On harmonic maps from stochastically complete manifolds

Ranjbar Motlagh, A. R ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1007/s00013-009-2539-1
  3. Publisher: 2009
  4. Abstract:
  5. The main purpose of this article is to generalize a theorem about the size of minimal submanifolds in Euclidean spaces. In fact, we state and prove a non-existence theorem about harmonic maps from a stochastically complete manifold into a cone type domain. The proof is based on a generalized version of the maximum principle applied to the Lapalace-Beltrami operator on Riemannian manifolds. © 2009 Birkhäuser Verlag Basel/Switzerland
  6. Keywords:
  7. Generalized maximum principle ; Harmonic maps ; Heat kernel ; Laplace-beltrami operator ; Minimal submanifolds ; Stochastically complete manifolds
  8. Source: Archiv der Mathematik ; Volume 92, Issue 6 , 2009 , Pages 637-644 ; 0003889X (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s00013-009-2539-1