Open AccessHypersurfaces with radial mean curvature in space forms
Author(s) -
Carlos M. C. Riveros,
Armando M. V. Corro,
Edwin O. Salinas Reyes
Publication year - 2021
Publication title -
nexus mathematicae
Language(s) - English
Resource type - Journals
ISSN - 2595-9824
DOI - 10.5216/nm.v4.70251
Subject(s) - holomorphic function , mathematics , rotation (mathematics) , mean curvature , space (punctuation) , pure mathematics , space form , curvature , mathematical analysis , type (biology) , geometry , computer science , geology , paleontology , submanifold , operating system
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.