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Volumn 103, Issue 4, 2000, Pages 465-512

Existence result for minimal hypersurfaces with a prescribed finite number of planar ends

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EID: 0034561998     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005863     Document Type: Article
Times cited : (11)

References (14)
  • 2
    • 0000119732 scopus 로고
    • Comple constant mean curvature surfaces in Euclidean three space
    • Kapouleas, N.: Comple constant mean curvature surfaces in Euclidean three space. Ann. of Math. 131, 239-330 (1990)
    • (1990) Ann. of Math. , vol.131 , pp. 239-330
    • Kapouleas, N.1
  • 3
    • 0031231656 scopus 로고    scopus 로고
    • Complete embedded minimal surfaces of finite total curvature
    • Kapouleas, N.: Complete embedded minimal surfaces of finite total curvature. J. Diff. Geom. 47, 95-169 (1997)
    • (1997) J. Diff. Geom. , vol.47 , pp. 95-169
    • Kapouleas, N.1
  • 4
    • 0030555565 scopus 로고    scopus 로고
    • The moduli space of complete embedded constant mean curvature surfaces
    • Kusner, R., Mazzeo, R. and Pollack, D.: The moduli space of complete embedded constant mean curvature surfaces. Geom. Funct. Anal. 6, 120-137 (1996)
    • (1996) Geom. Funct. Anal. , vol.6 , pp. 120-137
    • Kusner, R.1    Mazzeo, R.2    Pollack, D.3
  • 6
    • 85037257077 scopus 로고    scopus 로고
    • Connected sums of constant mean curvature surfaces in Euclidean 3 space
    • Mazzeo, R., Pacard, F. and Pollack, D.: Connected sums of constant mean curvature surfaces in Euclidean 3 space. To appear in J. Reine Angew. Math.
    • J. Reine Angew. Math.
    • Mazzeo, R.1    Pacard, F.2    Pollack, D.3
  • 11
    • 0040240148 scopus 로고    scopus 로고
    • The space of properly embedded minimal surfaces with finite total curvature
    • Perez, J. and Ros, A.: The space of properly embedded minimal surfaces with finite total curvature. Indiana Univ. Math. J. 45, 177-204 (1996)
    • (1996) Indiana Univ. Math. J. , vol.45 , pp. 177-204
    • Perez, J.1    Ros, A.2
  • 12
    • 85037453510 scopus 로고    scopus 로고
    • The space of complete minimal surfaces with finite total curvature as Lagrangian submanifold
    • Perez, J. and Ros, A.: The space of complete minimal surfaces with finite total curvature as Lagrangian submanifold. Trans. of the Amer. Math. Soc., to appear
    • Trans. of the Amer. Math. Soc.
    • Perez, J.1    Ros, A.2
  • 13
    • 84972545489 scopus 로고
    • Uniqueness, symmetry and embeddedness of minimal surfaces
    • Schoen, R.: Uniqueness, symmetry and embeddedness of minimal surfaces. J. Diff. Geom. 18, 791-809(1983)
    • (1983) J. Diff. Geom. , vol.18 , pp. 791-809
    • Schoen, R.1
  • 14
    • 0040782009 scopus 로고    scopus 로고
    • A connected sum construction for complete minimal surfaces with finite total curvature
    • Yang, S.D.: A connected sum construction for complete minimal surfaces with finite total curvature. To appear in Comm. Analysis and Geometry
    • Comm. Analysis and Geometry
    • Yang, S.D.1


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