Resultados tipo Bernstein em M2 x R

We will present a formula for the Laplacian function Θ = where f : Sigma ^ {n} → M^{n } × R is an embedding with codimension one, Sigma ^{n}is a two-sided surface, T is a conformal field in Sigma ^{n} × R en is a unit field normal to Sigma ^{n} in M^{n} × R. We will use this formula to obtain some B...

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Bibliographic Details
Author: Silva, José Wilker de Lima
Format: master thesis
Status:Published version
Publication Date:2007
Country:Brasil
Institution:Universidade Federal do Ceará (UFC)
Repository:Repositório Institucional da Universidade Federal do Ceará (UFC)
Language:Portuguese
OAI Identifier:oai:repositorio.ufc.br:riufc/61349
Online Access:http://www.repositorio.ufc.br/handle/riufc/61349
Access Level:Open access
Keyword:Geometria diferencial
Superfícies mínimas
Description
Summary:We will present a formula for the Laplacian function Θ = where f : Sigma ^ {n} → M^{n } × R is an embedding with codimension one, Sigma ^{n}is a two-sided surface, T is a conformal field in Sigma ^{n} × R en is a unit field normal to Sigma ^{n} in M^{n} × R. We will use this formula to obtain some Bernstein-like results in M2 × R.