We show the existence of a family of minimal surfaces obtained by deformations of the Costa-Hoffman-Meeks surface of genus k >=1, M (k) . These surfaces are obtained varying the logarithmic growths of the ends and the directions of the axes of revolution of the catenoidal type ends of M (k) . Also we obtain a result about the non degeneracy property of the surface M (k) .
About a family of deformations of the Costa-Hoffman-Meeks surfaces
Morabito F.
2009-01-01
Abstract
We show the existence of a family of minimal surfaces obtained by deformations of the Costa-Hoffman-Meeks surface of genus k >=1, M (k) . These surfaces are obtained varying the logarithmic growths of the ends and the directions of the axes of revolution of the catenoidal type ends of M (k) . Also we obtain a result about the non degeneracy property of the surface M (k) .File in questo prodotto:
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