José A. Gálvez, Antonio Martínez
Abstract
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We give some optimal estimates of the height, curvature and volume of compact hypersurfaces in R n+1 with constant curvature bounding a planar closed (n -1)-submanifold.
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We give some optimal estimates of the height, curvature and volume of compact hypersurfaces in R n+1 with constant curvature bounding a planar closed (n -1)-submanifold.
Key concepts: Submanifold, Constant curvature, Curvature, Constant (computer programming), Mathematics, Bounding overwatch, Planar, Mean curvature