Hypersurfaces with radial mean curvature in space forms
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Data
2021-12-23
Título da Revista
ISSN da Revista
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Editor
Universidade Federal de Goiás
Resumo
In this paper, we study two classes of hypersurfaces, namely, the DRMChypersurfaces and the HDRMC-hypersurfaces in space forms M
n+1(c), c = −1, 0, 1,
these classes include the Weingarten hypersurfaces of the spherical type obtained in
[10]. For n = 2, we present a way to obtain DRMC-surfaces and HDRMC-surfaces in
M
3
(c) using two holomorphic functions. Also, we classify the DRMC-hypersurfaces
of rotation in M
n+1(c) and the HDRMC-hypersurfaces of rotation in R
n+1
.
Descrição
Palavras-chave
Weingarten hypersurfaces, Radial mean curvature, Helmholtz equation, Hipersuperfícies Weingarten, Curvatura média radial, Equação de Helmholtz
Citação
C. RIVEROS, Carlos M.; V. CORRO, Armando M.; S. REYES, Edwin O. Hipersuperfícies com curvatura média radial em formas espaciais. Nexus Mathematicæ, Goiânia, v. 4, p. e20009, 2021.Disponível em: https://www.revistas.ufg.br/nexus/article/view/70251.