References
P. W. Aitchison,The determination of convex bodies by some local conditions, Duke Math. J.,41 (1974) 193–209, MR 48 12293.
H. Busemann,The geometry of geodesics, New York, 1955, MR 17-779.
V. L. Klee,Some characterisations of convex polyhedra, Acta. Math.,102, (1959) 79–107, MR 21 4390.
-V. L. Klee,Extremal structure of convex sets II, Math. Zeitschrift,69, (1958) 90–104, MR 19-1065.
S. P. Olovjanischnikoff,Ueber eine kennzeichnende Eigenschaft des Ellipsoides (Russian with a German summary), Leningrad State Univ. Annals (Uchenye Zapiski)83 (Math. Series12) (1941) 114–128, MR 8-169.
C. A. Rogers,Sections and projections of convex bodies, Portugaliae Mathematica,24, (1965) 99–103, MR 33 6502.
G. C. Shephard,Polytopes with centrally symmetric faces, Canadian J. Math.,19, (1967) 1206–1213, MR 36 4433.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Burton, G.R. On the sum of a zonotope and an ellipsoid. Commentarii Mathematici Helvetici 51, 369–387 (1976). https://doi.org/10.1007/BF02568163
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02568163