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