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Volumn 72, Issue 6, 1999, Pages 473-480

The Minding formula and its applications

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EID: 0033466585     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000130050358     Document Type: Article
Times cited : (6)

References (12)
  • 1
    • 0001271263 scopus 로고
    • Surfaces of mean curvature one in Hyperbolic space
    • R. BRYANT, Surfaces of mean curvature one in Hyperbolic space. Astérisque, Soc. Math, de France 154-155, 321-347 (1987).
    • (1987) Astérisque, Soc. Math, de France , vol.154-155 , pp. 321-347
    • Bryant, R.1
  • 4
    • 51249188224 scopus 로고
    • Complete minimal surfaces in Euclidean n-space
    • S. S. CHERN and R. OSSERMAN, Complete minimal surfaces in Euclidean n-space. J. d'Anal. Math. 19, 15-34 (1967).
    • (1967) J. D'Anal. Math. , vol.19 , pp. 15-34
    • Chern, S.S.1    Osserman, R.2
  • 5
    • 0002587690 scopus 로고
    • Kürzeste wege und totalkrümmung auf flächen
    • S. COHN-VOSSEN, Kürzeste Wege und Totalkrümmung auf Flächen. Compos. Math. 2, 69-133 (1935).
    • (1935) Compos. Math. , vol.2 , pp. 69-133
    • Cohn-Vossen, S.1
  • 6
    • 21344457385 scopus 로고    scopus 로고
    • Total curvature of branched minimal surfaces
    • Y. FANG, Total curvature of branched minimal surfaces. Proc. Amer. Math. Soc. 124, 1895-1898 (1996).
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 1895-1898
    • Fang, Y.1
  • 7
    • 51649203357 scopus 로고
    • On subharmonic functions and differential geometry in the large
    • A. HUBER, On subharmonic functions and differential geometry in the large. Comment. Math. Helv. 32, 13-72 (1957).
    • (1957) Comment. Math. Helv. , vol.32 , pp. 13-72
    • Huber, A.1
  • 8
    • 49049129087 scopus 로고
    • The topology of complete minimal surfaces of finite total Gaussian curvature
    • L. P. M. JORGE and W. H. MEEKS, The topology of complete minimal surfaces of finite total Gaussian curvature. Topology 22, 203-221 (1983).
    • (1983) Topology , vol.22 , pp. 203-221
    • Jorge, L.P.M.1    Meeks, W.H.2
  • 10
    • 84941372004 scopus 로고
    • Bemerkung über die abwickelung krummer linien auf flächen
    • F. MINDING, Bemerkung über die Abwickelung krummer Linien auf Flächen. J. Reine Angew. Math. 6, 159-161 (1830).
    • (1830) J. Reine Angew. Math. , vol.6 , pp. 159-161
    • Minding, F.1
  • 11
    • 0001738480 scopus 로고
    • Complete surfaces of constant mean curvature-1 in the hyperbolic 3-space
    • M. UMEHARA and K. YAMADA, Complete surfaces of constant mean curvature-1 in the hyperbolic 3-space. Annals of Mathematics 137, 611-638 (1993).
    • (1993) Annals of Mathematics , vol.137 , pp. 611-638
    • Umehara, M.1    Yamada, K.2
  • 12
    • 0000337358 scopus 로고    scopus 로고
    • A duality on CMC-1 surfaces in hyperbolic space, and a hyperbolic analogue of the Osserman inequality
    • M. UMEHARA and K. YAMADA, A duality on CMC-1 surfaces in hyperbolic space, and a hyperbolic analogue of the Osserman inequality. Tsukuba J. Math. 21, 229-237 (1997).
    • (1997) Tsukuba J. Math. , vol.21 , pp. 229-237
    • Umehara, M.1    Yamada, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.