Rigidity of hypersurfaces with constant higher order mean curvature in space forms

被引：0
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作者：
Josué Meléndez
Oscar Palmas
机构：
[1] Universidad Autónoma Metropolitana - Iztapalapa,Departamento de Matemáticas
[2] Universidad Nacional Autónoma de México,Departamento de Matemáticas, Facultad de Ciencias
来源：
Boletín de la Sociedad Matemática Mexicana | 2022年 / 28卷
关键词：
Higher order mean curvature; Rotation hypersurfaces; Scalar curvature; Ricci curvature; 53C40; 53A10;
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摘要：
We consider complete oriented hypersurfaces M immersed into a Riemannian space form with constant higher order mean curvature and having two principal curvatures, one of them simple. We use the fact that these hypersurfaces are in fact rotation hypersurfaces and impose further restrictions on the Ricci curvature to prove that they be must be isoparametric, therefore generalizing or giving alternate proofs of other characterization results.
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