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Estimate for index of closed minimal hypersurfaces in spheres

Estimate for index of closed minimal hypersurfaces in spheres

The aim of this work is to deal with index of closed orientable non-totally geodesic minimal hypersurface Ī£n of the Euclidean unit sphere Sn+1 whose second fundamental form has squared norm bounded from below by n. In this case we shall show that the index of stability, denoted by IndĪ£, ā€¦