On compact anisotropic Weingarten hypersurfaces in Euclidean space
نویسندگان
چکیده
منابع مشابه
compact hypersurfaces in euclidean space and some inequalities
let (m,g ) be a compact immersed hypersurface of (rn+1,) , λ1 the first nonzeroeigenvalue, α the mean curvature, ρ the support function, a the shape operator, vol (m ) the volume of m,and s the scalar curvature of m. in this paper, we established some eigenvalue inequalities and proved theabove.1) 1 2 2 2 2m ma dv dvn∫ ρ ≥ ∫ α ρ ,2)( )2 2 1 2m 1 mdv s dvn nα ρ ≥ ρ∫ − ∫ ,3) if the scalar curvatu...
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ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2019
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s00013-019-01315-8