메뉴 건너뛰기




Volumn 67, Issue 2, 2004, Pages 377-393

The topology, geometry and conformal structure of properly embedded minimal surfaces

Author keywords

[No Author keywords available]

Indexed keywords


EID: 22544443177     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1102536205     Document Type: Article
Times cited : (36)

References (21)
  • 1
    • 0001033902 scopus 로고
    • Embedded minimal surfaces with an infinite number of ends
    • M. Callahan, D. Hoffman & W.H. Meeks III, Embedded minimal surfaces with an infinite number of ends, Invent. Math. 96 (1989) 459-505.
    • (1989) Invent. Math , vol.96 , pp. 459-505
    • Callahan, M.1    Hoffman, D.2    Meeks, W.H.3
  • 2
    • 0010916059 scopus 로고
    • The structure of singly-periodic minimal surfaces
    • M. Callahan, D. Hoffman & W.H. Meeks III, The structure of singly-periodic minimal surfaces, Invent. Math. 99 (1990) 455-481.
    • (1990) Invent. Math , vol.99 , pp. 455-481
    • Callahan, M.1    Hoffman, D.2    Meeks, W.H.3
  • 3
    • 0031481549 scopus 로고    scopus 로고
    • Topologie et courbure des surfaces minimales de R3
    • 3, Ann. Math. 2nd Series 145(1) (1997) 1-31.
    • (1997) Ann. Math. 2Nd Series , vol.145 , Issue.1 , pp. 1-31
    • Collin, P.1
  • 4
    • 84972538988 scopus 로고
    • Uniqueness of minimal surfaces embedded in R3 with total curvature 12^
    • 3 with total curvature 12^, J. Differential Geometry 30(3) (1989) 597-618.
    • (1989) J. Differential Geometry , vol.30 , Issue.3 , pp. 597-618
    • Costa, C.1
  • 6
    • 0031138582 scopus 로고    scopus 로고
    • The ordering theorem for the ends of properly embedded minimal surfaces
    • C. Frohman & W.H. Meeks III, The ordering theorem for the ends of properly embedded minimal surfaces, Topology 36(3) (1997) 605-617.
    • (1997) Topology , vol.36 , Issue.3 , pp. 605-617
    • Frohman, C.1    Meeks, W.H.2
  • 7
    • 84968482213 scopus 로고
    • The asymptotic behavior of properly embedded minimal surfaces of finite topology
    • D. Hoffman & W.H. Meeks III, The asymptotic behavior of properly embedded minimal surfaces of finite topology, J. Am. Math. Soc. 2(4) (1989) 667-681.
    • (1989) J. Am. Math. Soc , vol.2 , Issue.4 , pp. 667-681
    • Hoffman, D.1    Meeks, W.H.2
  • 8
    • 49049129087 scopus 로고
    • The topology of complete minimal surfaces of finite total Gaussian curvature
    • L. Jorge & W.H. Meeks III, The topology of complete minimal surfaces of finite total Gaussian curvature, Topology 22(2) (1983) 203-221.
    • (1983) Topology , vol.22 , Issue.2 , pp. 203-221
    • Jorge, L.1    Meeks, W.H.2
  • 9
    • 84972500259 scopus 로고
    • On embedded, complete minimal surfaces of genus zero
    • F.J. Lopez & A. Ros, On embedded, complete minimal surfaces of genus zero, J. Differential Geometry 33(1) (1991) 293-300.
    • (1991) J. Differential Geometry , vol.33 , Issue.1 , pp. 293-300
    • Lopez, F.J.1    Ros, A.2
  • 11
    • 0347131191 scopus 로고    scopus 로고
    • Uniqueness of the Riemann minimal examples
    • W.H. Meeks III, J. Perez & A. Ros, Uniqueness of the Riemann minimal examples, Invent. Math. 131 (1998) 107-132.
    • (1998) Invent. Math , vol.131 , pp. 107-132
    • Meeks, W.H.1    Perez, J.2    Ros, A.3
  • 12
    • 85037917698 scopus 로고    scopus 로고
    • The geometry of minimal surfaces of finite genus I: Curvature estimates and quasiperiodicity
    • to appear
    • W.H. Meeks III, J. Perez & A. Ros, The geometry of minimal surfaces of finite genus I: curvature estimates and quasiperiodicity, J. Differential Geometry, to appear.
    • J. Differential Geometry
    • Meeks, W.H.1    Perezros, J.2    Ros, A.3
  • 13
    • 85037890056 scopus 로고    scopus 로고
    • The geometry of minimal surfaces of finite genus II: Nonexistence of one limit end examples
    • to appear
    • W.H. Meeks III, J. Perez & A. Ros, The geometry of minimal surfaces of finite genus II: nonexistence of one limit end examples, Invent. Math., to appear.
    • Invent. Math
    • Meeks, W.H.1    Perezros, J.2    Ros, A.3
  • 16
    • 7544224436 scopus 로고    scopus 로고
    • The uniqueness of the helicoid and the asymptotic geometry of properly embedded minimal surfaces with finite topology
    • to appear
    • W.H. Meeks III & H. Rosenberg, The uniqueness of the helicoid and the asymptotic geometry of properly embedded minimal surfaces with finite topology, Ann. Math., to appear.
    • Ann. Math
    • Meeks, W.H.1    Rosenberg, H.2
  • 17
    • 0000071384 scopus 로고
    • The geometry and conformal structure of properly embedded minimal surfaces of finite topology in R3
    • 3, Invent. Math. 114 (1993) 625-639.
    • (1993) Invent. Math , vol.114 , pp. 625-639
    • Meeks, W.H.1    Rosenberg, H.2
  • 18
    • 1142276445 scopus 로고    scopus 로고
    • On the existence of a proper minimal surface in R3 with the conformal type of a disk
    • 3 with the conformal type of a disk, Geom. Funct. Anal. 13(6) (2003) 1281-1301.
    • (2003) Geom. Funct. Anal , vol.13 , Issue.6 , pp. 1281-1301
    • Morales, S.1
  • 20
    • 84972545489 scopus 로고
    • Uniqueness, symmetry, and embeddedness of minimal surfaces
    • R. Schoen, Uniqueness, symmetry, and embeddedness of minimal surfaces, J. Differential Geometry 18 (1983) 791-809.
    • (1983) J. Differential Geometry , vol.18 , pp. 791-809
    • Schoen, R.1
  • 21
    • 0001841087 scopus 로고
    • Lectures on geometric measure theory
    • Australian National University, Canberra, Australia
    • L. Simon, Lectures on geometric measure theory, in ‘Proceedings of the Center for Mathematical Analysis’, Vol. 3, Australian National University, Canberra, Australia, 1983.
    • (1983) Proceedings of the Center for Mathematical Analysis , vol.3
    • Simon, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.