Master's Dissertation
DOI
https://doi.org/10.11606/D.45.1999.tde-20210729-023055
Document
Author
Full name
Barbara Corominas Valério
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1999
Supervisor
Title in Portuguese
As superfÃcies com curvatura média 1 em 'H POT.3' e seu parentesco com as superfÃcies mÃnimas em 'R POT.3'
Keywords in Portuguese
Geometria Diferencial
SuperfÃcies MÃnimas
Abstract in Portuguese
A aplicação de Gauss Hiperbólica das superfÃcies com curvatura média constante 1 no espaço hiperbólico é definida como uma aplicação holomorfa, assim como a aplicação de Gauss das superfÃcies mÃnimas do espaço euclidiano. Bryant [B] propôs para tais superfÃcies uma representação tipo representação de Weiestrass. Este trabalho se propõe a estudar alguns exemplos de superfÃcies com curvatura média constante 1 em 'H POT.3' através de um modelo alternativo proposto por [GG]
Title in English
not available
Abstract in English
The Hiperbolic Gauss map of constant mean curvature one surfaces in hiperbolic space is defined as a holomorphic map. Bryant [B] showed that an analogue of the Weierstrass type representation holds for this surfaces. This work intends to study same examples of this surfaces, using an alternative model showed by [GG]
WARNING - Viewing this document is conditioned on your acceptance of the following terms of use:
This document is only for private use for research and teaching activities. Reproduction for commercial use is forbidden. This rights cover the whole data about this document as well as its contents. Any uses or copies of this document in whole or in part must include the author's name.
Publishing Date
2021-07-29