AN END-TO-END CONSTRUCTION FOR SINGLY PERIODIC MINIMAL SURFACES

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We construct families of properly embedded singly periodic minimal surfaces in R(3) with Scherk-type ends and arbitrary finite genus in the quotient. The construction follows by gluing small perturbations of pieces of already known minimal surfaces: Scherk minimal surfaces, Costa-Hoffman-Meeks surfaces and KMR examples.
Publisher
PACIFIC JOURNAL MATHEMATICS
Issue Date
2009-05
Language
English
Article Type
Article
Keywords

COSTA SURFACES; PARALLEL ENDS; SPACE; EXISTENCE; EXAMPLES

Citation

PACIFIC JOURNAL OF MATHEMATICS, v.241, no.1, pp.1 - 61

ISSN
0030-8730
URI
http://hdl.handle.net/10203/195346
Appears in Collection
MA-Journal Papers(저널논문)
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