Keywords
- Riemann Surface
- Minimal Surface
- Dihedral Group
- Total Curvature
- Gaussian Image
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
J. Lucas M. Barbosa and A. Gervasio Colares, Exemplos de Superficies Minimas no R3, Fifth Differential Geometry Workshop, University of São Paulo, July 30–August 4, 1984.
C. Costa, Imersões minimas completas em R3 de genero um e curvatura total finita, Doctoral thesis, IMPA, Rio de Janeiro, Brasil, 1982. (Also in "Example of a complete minimal immersion in R3 of genus one and three embedded ends", to appear in Boletim da Sociedade Brasiliera Mathematica, 15, No.1)
D. Hoffman and W. Meeks III, A complete embedded minimal surface with genus one, three ends and finite total curvature. (preprint)
D. Hoffman and W. Meeks III, Complete embedded minimal surfaces of finite total curvature. Bull.A.M.S., January 1985.
D. Hoffman and W. Meeks III, to appear
D. Hoffman and R. Osserman, The geometry of the generalized Gauss map, Mem. Amer Math. Soc. No. 236, 1980.
L. Jorge and W. Meeks III, The topology of complete minimal surfaces of finite total Gaussian curvature, Topology, 22 No. 2, 203–221, 1983.
R. Osserman, Global properties of complete minimal surfaces in E3 and En, Ann. of Math., (2) 80, 340–364, 1964.
R. Schoen, Uniqueness, symmetry, and embeddedness of minimal surfaces, J. Diff. Geom. 18, 791–809, 1983.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1985 Springer-Verlag
About this paper
Cite this paper
Hoffman, D. (1985). Embedded minimal surfaces, computer graphics and elliptic functions. In: Ferus, D., Gardner, R.B., Helgason, S., Simon, U. (eds) Global Differential Geometry and Global Analysis 1984. Lecture Notes in Mathematics, vol 1156. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075092
Download citation
DOI: https://doi.org/10.1007/BFb0075092
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15994-0
Online ISBN: 978-3-540-39698-7
eBook Packages: Springer Book Archive
