New Isothermic surfaces in S3

Autor: Armando M. V. Corro, Marcelo Lopes Ferro

Publikováno v: Selecciones Matemáticas, Vol 10, Iss 01, Pp 114-128 (2023)

In this paper, we consider a method of constructing isothermic surfaces in S3 based on Ribaucour transformations. By applying the theory to the flat torus, we obtain two family of complete isothermic surfaces in S3. One four-parameter family of comp

Externí odkaz: https://doaj.org/article/dca2201cd11a4bb98abc2447e473ee4d

Nuevas superficies planas en S3

Autor: Marcelo Lopes Ferro, Armando M. V. Corro

Publikováno v: Selecciones Matemáticas; Vol. 8 Núm. 01 (2021): Enero-Julio; 75-82
Selecciones Matemáticas; Vol. 8 No. 01 (2021): January-July; 75-82
Selecciones Matemáticas; v. 8 n. 01 (2021): Janeiro-julho; 75-82
Revistas Universidad Nacional de Trujillo
Universidad Nacional de Trujillo
instacron:UNITRU

In this paper, we consider a method of constructing flat surfaces based on Ribaucour transformations inS3. By applying the theory to the flat torus, we obtain a family of complete flat surfaces in S3 which is determined by several parameters. We prov

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e245147f79644f80a4b9d6ee0abd13f4
http://arxiv.org/abs/2103.04679

On Dupin Hypersurfaces in R 5 Parametrized by Lines of Curvature

Autor: Luciana Avila Rodrigues, Marcelo Lopes Ferro, Keti Tenenblat

Publikováno v: Results in Mathematics. 70:499-531

We provide a complete local characterization of Dupin hypersurfaces in R 5, with four distinct principal curvatures, parametrized by lines of curvature. Such hypersurfaces are given in terms of the principal curvatures and vector valued functions tha

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::dcbf9f15ce3fd36ba63388c05e81723f
https://doi.org/10.1007/s00025-016-0577-0