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A lower bound for areas of the rotational hypersurfaces with Hm = 0 in the spheres.

Authors :
Wei, Guoxin
Wen, Guohua
Source :
Proceedings of the American Mathematical Society. Oct2021, Vol. 149 Issue 10, p4441-4449. 9p.
Publication Year :
2021

Abstract

In this paper, we study the areas of compact rotational hypersurfaces with Hm = 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 Hm is the m-th mean curvature of the hypersurface. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*SPHERES
*CURVATURE

Details

Language :
English
ISSN :
00029939
Volume :
149
Issue :
10
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
152160843
Full Text :
https://doi.org/10.1090/proc/15547