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Almost ellipsoidal sections and projections of convex bodies

Published online by Cambridge University Press:  24 October 2008

D. G. Larman  and
P. Mani
D. G. Larman
Affiliation:
Department of Mathematics, University College, London
P. Mani
Affiliation:
Department of Math. Institut, Universitaet Bern CH-3000, Bern
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Extract

In (1) Dvoretsky proved, using very ingenious methods, that every centrally symmetric convex body of sufficiently high dimension contains a central k-dimensional section which is almost spherical. Here we shall extend this result (Corollary to Theorem 2) to k-dimensional sections through an arbitrary interior point of any convex body.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 77 , Issue 3 , May 1975 , pp. 529 - 546
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

REFERENCES

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