Abstract
We give lower bounds for the volume, the surface area, and the other quermass-integrals of centro-symmetric convex universal covers in n-dimensional Euclidean spaces. The estimates are sharp in the case n = 2. The given bounds are also bounds for the quermassintegrals of convex translation covers.
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Weißbach, B. Quermaβintegrale zentralsymmetrischer Deckel. Geometriae Dedicata 69, 113–120 (1998). https://doi.org/10.1023/A:1005093123598
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DOI: https://doi.org/10.1023/A:1005093123598