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Mathematische Zeitschrift
Volumn 249, Issue 3, 2005, Pages 613-624
Curvature estimates for CMC surfaces in three dimensional manifolds
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EID: 14544291931     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00209-004-0724-2     Document Type: Article
Times cited : (12)
References (13)
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    • Barbosa, J.L.1    Do Carmo, M.2
  • 2
    • 0002944468 scopus 로고
    • Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
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    • Barbosa, J.L.1    Do Carmo, M.2    Eschenburg, J.3
  • 3
    • 0033197235 scopus 로고    scopus 로고
    • General curvature estimates for stable H-surfaces immersed into a space form
    • BeHa
    • [BeHa] Bérard, P., Hauswirth, L.: General curvature estimates for stable H-surfaces immersed into a space form. J. Math. Pures Appl. 78, 667-700 (1999)
    • (1999) J. Math. Pures Appl. , vol.78 , pp. 667-700
    • Bérard, P.1    Hauswirth, L.2
  • 4
    • 0000755701 scopus 로고
    • The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature
    • ChSc
    • [ChSc] Choi, H.I., Schoen, R.: The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature. Invent. Math. 81, 387-394 (1985)
    • (1985) Invent. Math. , vol.81 , pp. 387-394
    • Choi, H.I.1    Schoen, R.2
  • 6
    • 0003284040 scopus 로고    scopus 로고
    • [CM2] Courant Institute of Mathematical Sciences, New York University Press
    • [CM2] Colding, T.H., Minicozzi II, W.P.: Minimal surfaces, Vol 4. Courant Institute of Mathematical Sciences, New York University Press, 1999
    • (1999) Minimal Surfaces , vol.4
    • Colding, T.H.1    Minicozzi II, W.P.2
  • 7
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    • The structure of complete minimal surfaces in 3-manifolds of non-negative scalar curvature
    • FSc
    • [FSc] Fischer-Colbrie, D., Schoen, R.: The structure of complete minimal surfaces in 3-manifolds of non-negative scalar curvature. Comm. Pure Appl. Math. 33, 199-211 (1980)
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 199-211
    • Fischer-Colbrie, D.1    Schoen, R.2
  • 8
    • 0003135475 scopus 로고
    • Über die Lösungen der Minimalflāchengleichung
    • He
    • [He] Heinz, E.: Über die Lösungen der Minimalflā chengleichung. Nachr. Akad. Wiss. Göttingen Math. Phys. K1 ii, 51-56 (1952)
    • (1952) Nachr. Akad. Wiss. Göttingen Math. Phys. K1 , vol.2 , pp. 51-56
    • Heinz, E.1
  • 9
    • 0001731162 scopus 로고
    • Estimates for stable minimal surfaces in three-dimensional manifolds, Seminar on Minimal Submanifolds
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    • [Sc] Schoen, R.: Estimates for stable minimal surfaces in three-dimensional manifolds, Seminar on Minimal Submanifolds. Ann. Math. Stud 103, 111-126 (1983)
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    • Schoen, R.1
  • 10
    • 0001114041 scopus 로고
    • Curvature estimates for minimal hypersurfaces
    • ScSimY
    • [ScSimY] Schoen, R., Simon, L., Yau, S.T: Curvature estimates for minimal hypersurfaces. Acta Math. 132, 275-288 (1975)
    • (1975) Acta Math. , vol.132 , pp. 275-288
    • Schoen, R.1    Simon, L.2    Yau, S.T.3
  • 12
    • 0002460686 scopus 로고
    • Minimal varieties in Riemannian manifolds
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    • [Si] Simons, J.: Minimal varieties in Riemannian manifolds. Ann. of Math. 88, 62-105 (1968)
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    • Simons, J.1
  • 13
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    • Gauss curvature estimates for surfaces of constant mean curvature
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    • [Sp] Spruck, J.: Gauss curvature estimates for surfaces of constant mean curvature. Comm. Pure Appl. Math. 27, 547-557 (1974)
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.