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A uniqueness theorem for the singly periodic genus-one helicoid
Author(s):
Antonio
Alarcón;
Leonor
Ferrer;
Francisco
Martín
Journal:
Trans. Amer. Math. Soc.
359
(2007),
2819-2829.
MSC (2000):
Primary 53A10;
Secondary 53C42
Posted:
January 26, 2007
MathSciNet review:
2286058
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Additional information
Abstract:
The singly periodic genus-one helicoid was in the origin of the discovery of the first example of a complete minimal surface with finite topology but infinite total curvature, the celebrated Hoffman-Karcher-Wei's genus one helicoid. The objective of this paper is to give a uniqueness theorem for the singly periodic genus-one helicoid provided the existence of one symmetry.
References:
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Additional Information:
Antonio
Alarcón
Affiliation:
Departamento de Geometría y Topología, Universidad de Granada, 18071, Granada, Spain
Email:
alarcon@ugr.es
Leonor
Ferrer
Affiliation:
Departamento de Geometría y Topología, Universidad de Granada, 18071, Granada, Spain
Email:
lferrer@ugr.es
Francisco
Martín
Affiliation:
Departamento de Geometría y Topología, Universidad de Granada, 18071, Granada, Spain
Email:
fmartin@ugr.es
DOI:
10.1090/S0002-9947-07-04093-7
PII:
S 0002-9947(07)04093-7
Keywords:
Properly embedded minimal surfaces,
helicoidal ends
Received by editor(s):
May 4, 2005
Posted:
January 26, 2007
Additional Notes:
Research for this work was partially supported by MEC-FEDER grant number MTM2004-00160.
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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