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

Atsushi Atsuji

doi:10.3792/pjaa.75.105

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

Atsushi Atsuji

Research output: Contribution to journal › Article › peer-review

9 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 language	English
Pages (from-to)	105-108
Number of pages	4
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	75
Issue number	7
DOIs	https://doi.org/10.3792/pjaa.75.105
Publication status	Published - 1999
Externally published	Yes

Keywords

F-martingale
Harmonic map
Minimal submanifold
Stochastically complete

ASJC Scopus subject areas

Mathematics(all)

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10.3792/pjaa.75.105

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",

year = "1999",

doi = "10.3792/pjaa.75.105",

language = "English",

volume = "75",

pages = "105--108",

journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",

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PY - 1999

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

KW - F-martingale

KW - Harmonic map

KW - Minimal submanifold

KW - Stochastically complete

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JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

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

Abstract

Keywords

ASJC Scopus subject areas

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