First stability eigenvalue of singular minimal hypersurfaces in spheres
نویسندگان
چکیده
منابع مشابه
First stability eigenvalue characterization of Clifford hypersurfaces
ABSTRACT : The stability operator of a compact oriented minimal hypersurface Mn−1 ⊂ S is given by J = −∆ − ‖A‖ − (n − 1), where ‖A‖ is the norm of the second fundamental form. Let λ1 be the first eigenvalue of J and define β = −λ1 − 2(n − 1). In [S] Simons proved that β ≥ 0 for any non-equatorial minimal hypersurface M ⊂ S. In this paper we will show that β = 0 only for Clifford hypersurfaces. ...
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2018
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-018-1417-8