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Ruled Ricci surfaces and curves of constant torsion

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Autor(es):
de Carvalho, Alcides ; Domingos, Iury ; Santos, Roney
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: ANNALS OF GLOBAL ANALYSIS AND GEOMETRY; v. 67, n. 2, p. 13-pg., 2025-03-01.
Resumo

We show that all non-developable ruled surfaces endowed with Ricci metrics in the three-dimensional Euclidean space may be constructed using curves of constant torsion and its binormal. This allows us to give characterizations of the helicoid as the only surface of this kind that admits a parametrization with plane line of striction, and as the only with constant mean curvature. (AU)

Processo FAPESP: 23/14796-3 - Subvariedades Mínimas com Bordo Livre em Bolas Euclideanas e Superfícies de Ricci
Beneficiário:Roney Pereira dos Santos
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado