Open AccessA lower bound for areas of the rotational hypersurfaces with 𝐻ₘ=0 in the spheres
Author(s) -
Guoxin Wei,
Guohua Wen
Publication year - 2021
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/15547
Subject(s) - algorithm , annotation , computer science , artificial intelligence
In this paper, we study the areas of compact rotational hypersurfaces with H m = 0 H_m=0 in the spheres, prove that the set for areas of these hypersurfaces is a discrete set and obtain a lower bound for this set, where H m H_m is the m m -th mean curvature of the hypersurface.