References
McMullen, P.: On the inner parallel body of a convex body. Isr. J. Math.19, 217–219 (1974)
Osserman, R.: Curvature in the eighties. Am. Math. Mon.97, 731–756 (1990)
Ros, A.: Compact hypersurfaces with constant scalar curvature and a congruence theorem. J. Differ. Geom.27, 215–220 (1988)
Schneider, R.: Boundary structure and curvature of convex bodies. In: Tolke, J., Wills, J.M. (eds.): Contributions to Geometry (pp. 13–59) Basel, Boston, Stuttgart: Birkhäuser 1979
Schneider, R.: Bestimmung konvexer Körper durch Krümmungsmasse. Comment. Math. Helv.54, 42–60 (1979)
Weil, W.: Decomposition of convex bodies. Matematika21, 19–25 (1974)
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Supported by NSF Grant DMS-8802674
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Sangwine-Yager, J.R. A representation for volume involving interior reach. Math. Ann. 298, 1–5 (1994). https://doi.org/10.1007/BF01459722
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DOI: https://doi.org/10.1007/BF01459722