Title: Optimal inequalities characterising quasi-umbilical submanifolfds
Authors: Decu, Simona ×
Haesen, Stefan
Verstraelen, Pol #
Issue Date: 2008
Series Title: Journal of Inequalities in Pure and Applied Mathematics vol:9 issue:3
Article number: 79
Abstract: 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 and only if these submanifolds are invariantly quasi-umbilical. In the particular case of a hypersurface in a real space form, the equality case characterises a special class of rotation hypersurfaces.
ISSN: 1443-5756
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Geometry Section
× corresponding author
# (joint) last author

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