Hypersurfaces with radial mean curvature in space forms

Authors

  • Carlos Maber Carrión Riveros Universidade de Brasília (UnB), Departamento de Matemática, Brasília, Distrito Federal, Brasil, carlos@mat.unb.br
  • Armando M. Vasquez Corro Universidade Federal de Goiás (UFG), Instituto de Matemática e Estatística, Goiânia, Goiás, Brasil, avcorro@ufg.br
  • Edwin O. Salinas Reyes Universidade Federal do Oeste da Bahia (UFOB), Centro das Ciências Exatas e das Tecnologias, , Barreiras, Bahia, Brasil, edwin.reyes@ufob.edu.br

DOI:

https://doi.org/10.5216/nm.v4.70251

Abstract

In this paper, we study two classes of hypersurfaces, namely, the DRMC-hypersurfaces and the HDRMC-hypersurfaces in space forms Mn+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 M3(c) using two holomorphic functions. Also, we classify the DRMC-hypersurfaces of rotation in Mn+1(c) and the HDRMC-hypersurfaces of rotation in Rn+1.

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Published

2021-12-23

How to Cite

RIVEROS, C. M. C.; VASQUEZ CORRO, A. M. .; SALINAS REYES, E. O. Hypersurfaces with radial mean curvature in space forms. NEXUS Mathematicæ, Goiânia, v. 4, 2021. DOI: 10.5216/nm.v4.70251. Disponível em: https://revistas.ufg.br/nexus/article/view/70251. Acesso em: 17 jul. 2024.

Issue

Vol. 4 (2021): NEXUS Mathematicæ

Section

Artigos