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ADDING HANDLES TO RIEMANN’S MINIMAL SURFACES

Published online by Cambridge University Press:  24 January 2003

Martin Traizet
Martin Traizet
Affiliation:
Département de Mathématiques, Université de Tours, 37200 Tours, France (martin@gargan.math.univ-tours.fr)
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Abstract

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We construct embedded periodic minimal surfaces with planar ends. We use the Weierstrass representation and solve the period problem using the implicit function theorem at a singular point.

AMS 2000 Mathematics subject classification: Primary 53A10

Keywords

minimal surfacesperiod problemWeierstrass representation
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 1 , Issue 1 , January 2002 , pp. 145 - 174
Copyright
2002 Cambridge University Press