Classes de hipersuperfícies Weingarten generalizadas tipo Laguerre
Nenhuma Miniatura disponível
Data
2017-12-07
Autores
Título da Revista
ISSN da Revista
Título de Volume
Editor
Universidade Federal de Goiás
Resumo
In this work we present a classification of the Laguerre minimal surfaces with flat
curvature lines. We introduce three classes of hypersurfaces that generalize the Laguerre
minimal surfaces with the prescribed Gaussian normal application. The first class is
associated to biharmonic applications and is related by a Legendre transformation to
hypersurfaces that in the isotropic model has harmonic isotropic mean curvature. As an
application, we classify the hypersurfaces of rotation and we present examples of these
hypersurfaces parameterized by flat curvature lines. We obtain a characterization of the
other two classes of hypersurfaces, we study the rotation ones and we present examples.
Descrição
Citação
RUYS, Wesley da Silva. Classes de hipersuperfícies Weingarten generalizadas tipo Laguerre. 2017. 77 f. Tese (Doutorado em Matemática) - Universidade Federal de Goiás, Goiânia, 2017.