Weierstraß type representation of timelike surfaces with constant mean curvature

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We derive a correspondence between (Lorentzian) harmonic maps into the pseudosphere $S_1^2$, with appropriate regularity conditions, and certain connection 1-forms. To these harmonic maps, we associate a representation of type Weierstrass, and we apply it to construct timelike surfaces with constant mean curvature.

Keywords

Differential Geometry, Mathematical Physics, Mathematics Subject Classification: 53A10, 58E20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/68129

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307273
 http://arxiv.org/abs/math/0307273
 Differential Geometry and Integrable Systems, Contemporary Mathematics AMS, vol.308, 2002

Collections

arXiv