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Journal of the London Mathematical Society Journal of the London Mathematical Society

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singly periodic costa surfaces

Published online by Cambridge University Press:  04 October 2005

valério ramos batista
valério ramos batista
Affiliation:
institute of mathematics, statistics and computer science, university of campinas, po box 6065, 13083-859 campinas-sp, brazilvalerio@ime.unicamp.br
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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

53a10 53c42 49q05
Type
notes and papers
Information
Journal of the London Mathematical Society , Volume 72 , Issue 2 , October 2005 , pp. 478 - 496
Copyright
the london mathematical society 2005

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