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Volumn 75, Issue 7, 1999, Pages 105-108

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

Author keywords

F martingale; Harmonic map; Minimal submanifold; Stochastically complete

Indexed keywords


EID: 33747261532     PISSN: 03862194     EISSN: None     Source Type: Journal    
DOI: 10.3792/pjaa.75.105     Document Type: Article
Times cited : (14)

References (12)
  • 3
    • 0000070043 scopus 로고
    • On stochastically complete manifolds
    • A. A. Grigor'yan: On stochastically complete manifolds. Soviet. Math. Dokl., 34, 310-313 (1987).
    • (1987) Soviet. Math. Dokl. , vol.34 , pp. 310-313
    • Grigor'yan, A.A.1
  • 4
    • 0000936684 scopus 로고
    • The strong half-space theorem for minimal surfaces
    • D. A. Hoffman and W. H. Meeks: The strong half-space theorem for minimal surfaces. Invent. Math., 101, 373-377 (1990).
    • (1990) Invent. Math. , vol.101 , pp. 373-377
    • Hoffman, D.A.1    Meeks, W.H.2
  • 6
    • 0000598874 scopus 로고
    • 3 between two parallel planes
    • 3 between two parallel planes. Ann. Math., 112, 203-206 (1980).
    • (1980) Ann. Math. , vol.112 , pp. 203-206
    • Jorge, L.P.M.1    Xavier, F.2
  • 8
    • 0012893496 scopus 로고
    • Estimates for solutions of Poisson equations and their applications to submanifolds
    • Differential geometry of Submanifolds (ed. K. Kenmotsu). Springer, Berlin-Heidelberg-New York
    • A. Kasue: Estimates for solutions of Poisson equations and their applications to submanifolds. Differential geometry of Submanifolds (ed. K. Kenmotsu). Lect. Notes in Math., 1090, Springer, Berlin-Heidelberg-New York, pp. 1-14 (1984).
    • (1984) Lect. Notes in Math. , vol.1090 , pp. 1-14
    • Kasue, A.1
  • 9
    • 84960586494 scopus 로고
    • Probability, convexity, and harmonic maps with small image I: Uniqueness and fine existence
    • W. S. Kendall: Probability, convexity, and harmonic maps with small image I: Uniqueness and fine existence. Proc. London Math. Soc., 61, 371-406 (1990).
    • (1990) Proc. London Math. Soc. , vol.61 , pp. 371-406
    • Kendall, W.S.1
  • 10
    • 84972539418 scopus 로고
    • Isometric immersions of Riemannian manifolds
    • H. Omori: Isometric immersions of Riemannian manifolds. J. Math. Soc. Japan, 19, 205-214 (1967).
    • (1967) J. Math. Soc. Japan , vol.19 , pp. 205-214
    • Omori, H.1
  • 12
    • 0012790259 scopus 로고    scopus 로고
    • A volume estimate for strong subharmonicity and maximum principle on complete Riemannian manifolds
    • K. Takegoshi: A volume estimate for strong subharmonicity and maximum principle on complete Riemannian manifolds. Nagoya Math. J., 151, 25-36 (1998).
    • (1998) Nagoya Math. J. , vol.151 , pp. 25-36
    • Takegoshi, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.