Index and nullity of the Gauss map of the Costa-Hoffman-Meeks surfaces

Details Index and nullity of the Gauss map of the Costa-Hoffman-Meeks surfaces Index and nullity of the Gauss map of the Costa-Hoffman-Meeks surfaces

2008-06-11

arxiv.org/abs/0806.1836v1

Mathematics

Differential Geometry

28 pages, accepted for publication in Indiana University Mathematics Journal

Scientific paper

The aim of this work is to extend the results of S. Nayatani about the index
and the nullity of the Gauss map of the Costa-Hoffman-Meeks surfaces for values
of the genus bigger than 37. That allows us to state that these minimal
surfaces are non degenerate for all the values of the genus in the sense of the
definition of J. Perez and A. Ros.

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