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Euclidean Hypersurfaces with Genuine Conformal Deformations in Codimension Two

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Autor(es):
Chion, Sergio ; Tojeiro, Ruy
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 51, n. 3, p. 54-pg., 2019-10-31.
Resumo

In this paper we classify Euclidean hypersurfaces f : M-n -> Rn+1 with a principal curvature of multiplicity n - 2 that admit a genuine conformal deformation (f) over tilde: M-n -> Rn+2. That (f) over tilde: M-n -> Rn+2 is a genuine conformal deformation of f means that it is a conformal immersion for which there exists no open subset U subset of M-n such that the restriction (f) over tilde vertical bar(U) is a composition (f) over tilde vertical bar(U) = h omicron f vertical bar U of f vertical bar U with a conformal immersion h: V -> Rn+2 of an open subset V subset of Rn+1 containing f (U). (AU)

Processo FAPESP: 16/23746-6 - Técnicas algébricas, topológicas e analíticas em geometria diferencial e análise geométrica
Beneficiário:Paolo Piccione
Modalidade de apoio: Auxílio à Pesquisa - Temático