Abstract
We prove inequality (1) for the modified Steiner functionalA(M), which extends the notion of the integral of mean curvature for convex surfaces. For the proof, we also establish an expression forA(M) in terms of an integral over all hyperplanes intersecting the polyhedral surfaceM.
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Communicated by N.Yu. Reshetikhin
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Savvidy, G.K., Schneider, R. A lower estimate for the modified Steiner functional. Commun.Math. Phys. 161, 283–287 (1994). https://doi.org/10.1007/BF02099778
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DOI: https://doi.org/10.1007/BF02099778