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Illinois Journal of Mathematics
Volumn 46, Issue 4, 2002, Pages 1177-1195
Minimal surfaces in M2 × ℝ
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Indexed keywords

EID: 0141655172     PISSN: 00192082     EISSN: None     Source Type: Journal    
DOI: 10.1215/ijm/1258138473     Document Type: Article
Times cited : (112)
References (11)
  • 2
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    • Fischer-Colbrie, D.1
  • 3
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    • The existence of least area incompressible surfaces in 3-manifolds
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    • [F-H-S] M. Freedman, J. Hass, and P. Scott, The existence of least area incompressible surfaces in 3-manifolds, Invent. Math. 71 (1983), 609-642.
    • (1983) Invent. Math. , vol.71 , pp. 609-642
    • Freedman, M.1    Hass, J.2    Scott, P.3
  • 4
    • 0001341418 scopus 로고
    • The global theory of doubly periodic minimal surfaces
    • [M-R]
    • [M-R] W. Meeks III and H. Rosenberg, The global theory of doubly periodic minimal surfaces, Invent. Math. 97 (1989), 351-379.
    • (1989) Invent. Math. , vol.97 , pp. 351-379
    • Meeks W. III1    Rosenberg, H.2
  • 5
    • 0001704354 scopus 로고
    • The existence of embedded minimal surfaces, exotic spheres and positive Ricci curvature
    • [M-S-Y]
    • [M-S-Y] W. Meeks III, L. Simon, and S. T. Yau, The existence of embedded minimal surfaces, exotic spheres and positive Ricci curvature, Ann. of Math. 116 (1982), 221-259.
    • (1982) Ann. of Math. , vol.116 , pp. 221-259
    • Meeks W. III1    Simon, L.2    Yau, S.T.3
  • 7
    • 0000080558 scopus 로고    scopus 로고
    • Isoperimetric domains in the Riemannian product of a circle with a simply connected space form and applications to free boundary value problems
    • [P-R]
    • [P-R] R. Pedrosa and M. Ritore, Isoperimetric domains in the Riemannian product of a circle with a simply connected space form and applications to free boundary value problems, Indiana Univ. Math. J. 48 (1999), 1357-1394.
    • (1999) Indiana Univ. Math. J. , vol.48 , pp. 1357-1394
    • Pedrosa, R.1    Ritore, M.2
  • 8
    • 0035255903 scopus 로고    scopus 로고
    • Intersection of minimal surfaces of bounded curvature
    • [R] H. Rosenberg, Intersection of minimal surfaces of bounded curvature, Bull. Sci. Math. 125 (2001), 161-168.
    • (2001) Bull. Sci. Math. , vol.125 , pp. 161-168
    • Rosenberg, H.1
  • 10
    • 0001731162 scopus 로고
    • Estimates for stable minimal surfaces in three dimensional manifolds
    • [Sch], Princeton Univ. Press, Princeton
    • [Sch] R. Schoen, Estimates for stable minimal surfaces in three dimensional manifolds, Annals Math. Studies, vol. 103, Princeton Univ. Press, Princeton, 1983.
    • (1983) Annals Math. Studies , vol.103
    • Schoen, R.1
  • 11
    • 0000969838 scopus 로고
    • Stability of complete noncompact surfaces with constant mean curvature
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    • [Sil] A. da Silveira, Stability of complete noncompact surfaces with constant mean curvature, Math. Ann. 277 (1987), 629-638.
    • (1987) Math. Ann. , vol.277 , pp. 629-638
    • Da Silveira, A.1

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