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Sept. 1999 Remarks on harmonic maps into a cone from a stochastically complete manifold
Atsushi Atsuji
Proc. Japan Acad. Ser. A Math. Sci. 75(7): 105-108 (Sept. 1999). DOI: 10.3792/pjaa.75.105

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.

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Atsushi Atsuji. "Remarks on harmonic maps into a cone from a stochastically complete manifold." Proc. Japan Acad. Ser. A Math. Sci. 75 (7) 105 - 108, Sept. 1999. https://doi.org/10.3792/pjaa.75.105

Information

Published: Sept. 1999
First available in Project Euclid: 23 May 2006

zbMATH: 0960.58019
MathSciNet: MR1729854
Digital Object Identifier: 10.3792/pjaa.75.105

Subjects:
Primary: 58G32 , 60H30
Secondary: 53C42 , 58E20

Keywords: $\Gamma $-martingale , Harmonic map , minimal submanifold , stochastically complete

Rights: Copyright © 1999 The Japan Academy

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Vol.75 • No. 7 • Sept. 1999
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