Width, Ricci curvature, and minimal hypersurfaces
نویسندگان
چکیده
منابع مشابه
Rigidity of minimal hypersurfaces of spheres with constant ricci curvature
ABSTRACT: Let M be a compact oriented minimal hypersurface of the unit n-dimensional sphere S. In this paper we will point out that if the Ricci curvature of M is constant, then, we have that either Ric ≡ 1 andM is isometric to an equator or, n is odd,Ric ≡ n−3 n−2 andM is isometric to S n−1 2 ( √ 2 2 )×S n−1 2 ( √ 2 2 ). Next, we will prove that there exists a positive number ̄(n) such that if ...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2017
ISSN: 0022-040X
DOI: 10.4310/jdg/1483655859