The embedded singly periodic Scherk-Costa surfaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We give a positive answer to M. Traizet's open question about the existence of complete embedded minimal surfaces with Scherk-ends without planar geodesics. In the singly periodic case, these examples get close to an extension of Traizet's result concerning asymmetric complete minimal submanifolds of Euclidean space with finite total curvature.
38 pages, 19 figures

Keywords

Differential Geometry, Primary 53A10; Secondary 49Q05, 49Q10, 53C42

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/72315

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408410
 http://arxiv.org/abs/math/0408410

Collections

arXiv