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Original Articles

Deforming the Singly Periodic Genus-One Helicoid

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Pages 207-218 | Published online: 03 Apr 2012

REFERENCES

  • Hoffman , D. and Karcher , H. 1997 . “Complete embedded minimal surfaces of finite total curvature.”. ” . In Encyclopedia of Mathematics Edited by: Osserman , R. 5 – 93 . Berlin-Heidelberg : Springer Verlag. . [Hoffman and Karcher 97]
  • Hoffman , D. , Karcher , H. and Wei , F. 1993 . “The genus one helicoid and the minimal surfaces that led to its discovery.”. ” . In Global Analysis and Modem Mathematics Edited by: Uhlenbeck , K. 119 – 170 . Berkeley , CA : Publish or Perish Press. . [Hoffman et al. 93]
  • Hoffman , D. , Karcher , H. and Wei , F. 1999 . “The singly periodic genus-one helicoid.” . Commentarii Mathematici Helvetici , 74 : 248 – 279 . [Hoffman et al. 99]
  • Traizet , M. “Construction of minimal surfaces by gluing weierstrass representations.” . Proceedings of the Clay Mathematics Institute 2001 Summer School on the Global Theory of Minimal Surfaces . Edited by: Hoffman , D. [Traizet 01]
  • Traizet , M. 2002 . “Adding handles to the Riemann examples.” . Journal of the Inst. Math. Jussieu , 1 ( 1 ) : 145 – 174 . [Traizet 02a]
  • Traizet , M. 2002 . “An embedded minimal surface with no symmetries.” [Traizet 02b], Preprint
  • Traizet , M. and Weber , M. 2002 . [Traizet and Weber 02], In preparation
  • Weber , W. 2000 . On the embeddedness of the genus one helicoid. Habilitationsschrift, University of Bonn. . [Weber 00]
  • Weber , M. 2001 . Period quotient maps of meromorphic 1-forms and minimal surfaces on tori . J. Geom. Analysis , 12 ( 2 ) [Weber 02]
  • Weber , M. , Hoffman , D. and Wolf , M. “An embedded genus-one helicoid constructed as the limit of periodic embedded minimal surfaces.” [Weber et al. 02], In preparation

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