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Quasi-umbilical affine hypersurfaces congruent to their centre map
affine differential geometry quasi-umbilical center map Differential Geometry
2012/6/12
In this paper, we study strictly convex affine hypersurfaces centroaffinely congruent to their centre map, in the case when the shape operator has two distinct eigenvalues: one of multiplicity 1, and ...
Optimal Inequalities Characterising Quasi-umbilical Submanifolds
Chen curvature Casorati curvature quasi-umbilical
2010/1/22
A family of optimal inequalities is obtained involving the intrinsic scalar curvature and the extrinsic Casorati curvature of submanifolds of real space forms. Equality holds in the inequalities if a...