Remarks on harmonic maps into a cone from a stochastically complete manifold

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We show that there are no stochastically complete minimal submanifolds immersed in Cartan-Hadamard manifolds which lie in a non-degenerate cone type domain.

Original languageEnglish
Pages (from-to)105-108
Number of pages4
JournalProceedings of the Japan Academy Series A: Mathematical Sciences
Volume75
Issue number7
Publication statusPublished - 1999
Externally publishedYes

Fingerprint

Hadamard Manifolds
Minimal Submanifolds
Harmonic Maps
Cone

Keywords

  • F-martingale
  • Harmonic map
  • Minimal submanifold
  • Stochastically complete

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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title = "Remarks on harmonic maps into a cone from a stochastically complete manifold",
abstract = "We show that there are no stochastically complete minimal submanifolds immersed in Cartan-Hadamard manifolds which lie in a non-degenerate cone type domain.",
keywords = "F-martingale, Harmonic map, Minimal submanifold, Stochastically complete",
author = "Atsushi Atsuji",
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language = "English",
volume = "75",
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journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",
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KW - Stochastically complete

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