Helicoidal flat surfaces in the 3-sphere

Author:

Manfio Fernando1,dos Santos João Paulo2ORCID

Affiliation:

1. ICMC; Universidade de São Paulo; 13560-970 São Carlos Brazil

2. MAT; Universidade de Brasília; 70910-900 Brasília Brazil

Funder

Fundação de Amparo à Pesquisa do Estado de São Paulo

FEMAT/UNB

Fundação de Apoio à Pesquisa do Distrito Federal

Publisher

Wiley

Subject

General Mathematics

Reference22 articles.

1. A d'Alembert formula for flat surfaces in the 3-sphere;Aledo;J. Geom. Anal.,2009

2. Helicoidal surfaces with prescribed mean or Gaussian curvature;Baikoussis;J. Geom.,1998

3. Sulle superficie a curvatura nulla in geometria ellittica;Bianchi;Ann. Mat. Pura Appl.,1896

4. Helicoidal surfaces with constant mean curvature;do Carmo;Tohoku Math. J. (2),1982

5. On flat surfaces in space forms;Dajczer;Houston J. Math.,1995

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1. Helicoidal minimal surfaces in the 3-sphere: an approach via spherical curves;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2024-03-23

2. Helicoidal Hypersurfaces and Graphs in Conformally Flat Spaces;Results in Mathematics;2022-04-19

3. A variational characterization of profile curves of invariant linear Weingarten surfaces;Differential Geometry and its Applications;2020-02

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