Index and nullity of the Gauss map of the Costa-Hoffman-Meeks surfaces
Abstract
Description
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.
28 pages, accepted for publication in Indiana University Mathematics Journal
28 pages, accepted for publication in Indiana University Mathematics Journal