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Total absolute curvature and tight submanifolds in hyperbolic space
Authors:Solanes   Gil
Affiliation:Departament d’Àlgebra i Geometria
Universitat de Barcelona
Gran Via de les Corts Catalanes 585 08007 Barcelona
Spain
Abstract:An integral-geometric formula for the total absolute curvatureof tight submanifolds in hyperbolic space is given. Counterexamplesto the Chern–Lashof inequality are constructed in hyperbolicspace of dimension 3.
Keywords:
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