Weingarten surfaces in three-dimensional product geometries
Loading...
Files
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Universidade Federal de São Carlos
DOI
Abstract
In this work, we seek to obtain information about certain types of Weingarten surfaces, approaching this problem through nonlinear partial differential equations. We study particular cases of translation surfaces in the product spaces H2xR and H3 and Helical surfaces in S2xR that verify the property of being a Weingarten Surface. In addition, we also investigate translation surfaces in the Euclidean space E3 that are particular cases of Weingarten Flow Solitons.
Description
Keywords
Superfícies de Weingarten , Geometrias produto , Fluxo de Weingarten , Sólitons , Equações diferenciais parciais não lineares , Método de Fourier , Separação de variáveis , Equação do calor , Weingarten surfaces , Product geometries , Weingarten flow , Solitons , Nonlinear partial differential equations , Fourier method , Separation of variables , Heat equation
Citation
VITTI, Mannaim Gennaro. Weingarten surfaces in three-dimensional product geometries. 2025. Tese (Doutorado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2025. Disponível em: https://repositorio.ufscar.br/handle/20.500.14289/21951.
Collections
Endorsement
Review
Supplemented By
Referenced By
Creative Commons license
Except where otherwise noted, this item's license is described as Attribution-NoDerivs 3.0 Brazil