Higher genus Riemann minimal surfaces

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We construct higher genus Riemann's minimal surfaces properly embedded in the Euclidean space. To do that we glue end by end a Costa-Hoffman-Meeks examples to two halves genus zero Riemann's minimal surfaces. In first we need to perform a deformation of a Costa-Hoffman-Meeks example to prescribe the flux vector along the catenoidal ends. Then we study the mapping property of the Jacobi operator on the half Riemann example as a perturbation analysis of a CMC-Delaunay half cylinder.
43 pages

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/104968

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511438
 http://arxiv.org/abs/math/0511438

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arXiv