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singly periodic costa surfaces

Published online by Cambridge University Press:  04 October 2005

valério ramos batista
Affiliation:
institute of mathematics, statistics and computer science, university of campinas, po box 6065, 13083-859 campinas-sp, [email protected]
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Abstract

global weierstrass representations are derived for complete minimal surfaces obtained by substituting the planar end of the costa surface by scherk ends. this gives rise to singly periodic examples, of which the fundamental piece is proved to be embedded by a simple geometric technique. this technique can be generalised for embeddedness proof of future examples of the same nature.

Keywords

Type
notes and papers
Copyright
the london mathematical society 2005

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