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Volumn 47, Issue 2, 1997, Pages 376-397

A characterization of riemann’s minimal surfaces

Author keywords

Embedded minimal surfaces; Minimal surfaces; Riemann examples; Riemann s minimal surfaces

Indexed keywords


EID: 0013558919     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1214460115     Document Type: Article
Times cited : (13)

References (26)
  • 1
    • 0001033902 scopus 로고
    • Embedded minimal surfaces with an infinite number of ends
    • M. Callahan, D. Hoffman & W. 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.3
  • 2
    • 0010916059 scopus 로고
    • The structure of singly-periodic minimal surfaces
    • M. Callahan, D. Hoffman & W. 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.3
  • 3
    • 51249192264 scopus 로고
    • Eigenfunctions and nodal sets
    • S. Y. Cheng, Eigenfunctions and nodal sets, Comment. Math. Helv. 51 (1976) 43-55.
    • (1976) Comment. Math. Helv , vol.51 , pp. 43-55
    • Cheng, S.Y.1
  • 6
    • 0001503937 scopus 로고
    • Die cyklischen flachen
    • A. Enneper, Die cyklischen flachen, Z. Math. Phys. 14 (1869) 393-421.
    • (1869) Z. Math. Phys , vol.14 , pp. 393-421
    • Enneper, A.1
  • 7
    • 51249161909 scopus 로고
    • On minimal annuli in a slab
    • Y. Fang, On minimal annuli in a slab, Comment. Math. Helv. 69 (1994) 417-430.
    • (1994) Comment. Math. Helv , vol.69 , pp. 417-430
    • Fang, Y.1
  • 10
    • 0000830199 scopus 로고
    • Minimal surfaces based on the catenoid
    • D. Hoffman & W.H. Meeks, Minimal surfaces based on the catenoid, Amer. Math. Monthly 97 (1990) 702-730.
    • (1990) Amer. Math. Monthly , vol.97 , pp. 702-730
    • Hoffman, D.1    Meeks, W.H.2
  • 12
    • 0001813682 scopus 로고
    • Embedded minimal surfaces derived from Scherk’s examples
    • H. Karcher, Embedded minimal surfaces derived from Scherk’s examples, Manuscripta Math. 62 (1988) 83-114.
    • (1988) Manuscripta Math , vol.62 , pp. 83-114
    • Karcher, H.1
  • 13
    • 84968522706 scopus 로고
    • The classification of complete minimal surfaces with total curvature greater than — 127r
    • F. J. Löpez, The classification of complete minimal surfaces with total curvature greater than — 127r, Trans. Amer. Math. Soc. 334 (1992) 49-74.
    • (1992) Trans. Amer. Math. Soc , vol.334 , pp. 49-74
    • Löpez, F.J.1
  • 14
    • 84972500259 scopus 로고
    • On embedded complete minimal surfaces of genus zero
    • F. J. López &; A. Ros, On embedded complete minimal surfaces of genus zero, J. Differential Geom. 33 (1991) 293-300.
    • (1991) J. Differential Geom , vol.33 , pp. 293-300
    • López &, F.J.1    Ros, A.2
  • 15
    • 0010881144 scopus 로고
    • The geometry, topology, and existence of periodic minimal surfaces
    • W. H. Meeks, The geometry, topology, and existence of periodic minimal surfaces, Proc. Sympos. Pure Math., Amer. Math. Soc. I, 54 (1993) 333-374.
    • (1993) Proc. Sympos. Pure Math., Amer. Math. Soc , vol.1 , Issue.54 , pp. 333-374
    • Meeks, W.H.1
  • 16
    • 51249168100 scopus 로고
    • The geometry of periodic minimal surfaces
    • W. H. Meeks &; H. Rosenberg, The geometry of periodic minimal surfaces, Comment. Math. Helv. 68 (1993) 538-578.
    • (1993) Comment. Math. Helv , vol.68 , pp. 538-578
    • Meeks &, W.H.1    Rosenberg, H.2
  • 17
    • 0000566606 scopus 로고
    • Some recent developments in the theory of properly embedded minimal surfaces in R3
    • 3, Sém. Bourbaki, 759 (1992).
    • (1992) Sém. Bourbaki , pp. 759
    • Rosenberg, H.1
  • 20
    • 0013551836 scopus 로고
    • Some uniqueness and nonexistence results for embedded minimal surfaces
    • J. Pérez & A. Ros, Some uniqueness and nonexistence results for embedded minimal surfaces, Math. Ann. 295 (1993) 513-525.
    • (1993) Math. Ann , vol.295 , pp. 513-525
    • Pérez, J.1    Ros, A.2
  • 22
    • 0039865137 scopus 로고
    • A rigidity theorem for Riemann’s minimal surfaces
    • P. Romon, A rigidity theorem for Riemann’s minimal surfaces, Ann. Inst. Fourier (Grenoble) 43 (1993) 485-502.
    • (1993) Ann. Inst. Fourier (Grenoble) , vol.43 , pp. 485-502
    • Romon, P.1
  • 23
    • 0013489834 scopus 로고
    • On surfaces of stationary area bounded by two circles, or convex curves, in parallel planes
    • M. Shiffman, On surfaces of stationary area bounded by two circles, or convex curves, in parallel planes, Ann. Math. 63 (1956) 77-90.
    • (1956) Ann. Math , vol.63 , pp. 77-90
    • Shiffman, M.1
  • 24
    • 51249170502 scopus 로고
    • On the minimal surfaces of Riemann
    • E. Toubiana, On the minimal surfaces of Riemann, Comment. Math. Helv. 67 (1992) 546-570.
    • (1992) Comment. Math. Helv , vol.67 , pp. 546-570
    • Toubiana, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.