Properness of minimal surfaces with bounded curvature

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We show that immersed minimal surfaces of $\mathbb{R}^{3}$ with bounded curvature and proper self intersections are proper. We also show that the restriction of the immersing map to a wide component is always proper. When the immersing map is injective the whole surface is a wide component. Prior to these results it was only known that injectively immersed minimal surfaces with bounded curvature were proper.
Short paper, (4 pages), writen in ams-latex

Keywords

Differential Geometry, Metric Geometry, 53C42; 53C21

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/98675

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0205304
 http://arxiv.org/abs/math/0205304
 An. Acad. Bras. Cienc., Sept 2003, vol.75, no.3, p.279-284.

Collections

arXiv