Hermite polynomials and helicoidal minimal surfaces

Inventiones Mathematicae

Volumn 161, Issue 1, 2005, Pages 113-149

  Traizet, Martin ^a   Weber, Matthias ^b  

^a UNIVERSITÉ DE TOURS   (France)

^b INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21244505327     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00222-004-0420-1     Document Type: Article

References (12)

1. Huffman, D., Karcher, H., Wei, F.: The genus one helicoid and the minimal surfaces that led to its discovery. In: Global Analysis and Modern Mathematics, ed. by K. Uhlenbeck, pp. 119-170. Publish or Perish Press 1993
2. Hoffman, D., Karcher, H., Wei, F.: The singly periodic genus-one helicoid. Comment. Math. Helv. 74, 248-279 (1999)
3. Hoffman, D., Wei, F.: Deforming the periodic genus-one helicoid. Experimental Math. 11, 207-218 (2002)
4. Karcher, H.: Embedded minimal surfaces derived from Scherk's examples. Manuscr. Math. 62, 83-114 (1988)
5. Lynker, A.: Einfach periodische elliptische Minimalflächen. Diplomarbeit. Bonn 1993
6. Meeks III, W.H., Rosenherg, H.: The geometry of periodic minimal surfaces. Comment. Math. Helv. 68, 538-578 (1993)
7. Szego, G.: Orthogonal Polynomials, 4th ed. Providence, RI: Am. Math. Soc. 1975
8. Traizet, M.: An embedded minimal surface with no symmetries. J. Differ. Geom. 60, 103-153 (2002)
9. Koch, H., Fischer, W.: On 3-periodic minimal surfaces with non-cubic symmetry. Z. Kristallogr. 183, 129-152 (1988)
10. Weber, M.: The genus one helicoid is embedded. Habilitationsschrift, Bonn 2000
11. Weber, M.: On Karcher's twisted saddle towers. In: Geometric Analysis and Nonlinear Partial Differential Equations, ed. by S. Hildebrandt, H. Karcher. Springer 2003
12. Weber, M., Hoffman, D., Wolf, M.: An embedded genus one helicoid. Preprint 2004, http://arxiv.org/abs/math.DG/0401080