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Asymptotics of ends of constant mean curvature surfaces with bubbletons
Author(s):
Shimpei
Kobayashi
Journal:
Proc. Amer. Math. Soc.
136
(2008),
1433-1443.
MSC (2000):
Primary 53A10
Posted:
December 10, 2007
MathSciNet review:
2367117
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Abstract:
A constant mean curvature surface with bubbletons is defined by the loop group action on the set of extended framings for constant mean curvature surfaces by simple factors. Classically such surfaces were obtained by the transformation of tangential line congruences, the so-called Bianchi-Bäcklund transformations. In this paper, we consider constant mean curvature surfaces with Delaunay ends in three-dimensional space forms  ,  and  and their surfaces with bubbletons for which the topology is preserved. We show that the ends of such surfaces are again asymptotic to Delaunay surfaces.
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Additional Information:
Shimpei
Kobayashi
Affiliation:
School of Information Environment, Tokyo Denki University, Chiba 270-1382, Japan
Email:
shimpei@sie.dendai.ac.jp
DOI:
10.1090/S0002-9939-07-09137-X
PII:
S 0002-9939(07)09137-X
Received by editor(s):
April 11, 2006
Received by editor(s) in revised form:
February 15, 2007
Posted:
December 10, 2007
Communicated by:
Richard A. Wentworth
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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