Convex bodies with many elliptic sections

Isaac Arelio; Luis Montejano

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Convex bodies with many elliptic sections

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arxiv 1408.5647 v1 pith:VAAEEOW2 submitted 2014-08-25 math.MG

Convex bodies with many elliptic sections

Isaac Arelio , Luis Montejano This is my paper

classification math.MG

keywords convexellipticsectionsbodyboundarycharacterizeellipsoidessentially

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{We show in this paper that two normal elliptic sections through every point of the boundary of a smooth convex body essentially characterize an ellipsoid and furthermore, that four different pairwise non-tangent elliptic sections through every point of the $C^2$-differentiable boundary of a convex body also essentially characterize an ellipsoid.

Convex bodies with many elliptic sections

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