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A helmholtz-lie type characterization of ellipsoids, I

Research paper by P. M. Gruber

Indexed on: 01 Jun '95Published on: 01 Jun '95Published in: Discrete & Computational Geometry



Abstract

A closed convex surfaceS in\(\mathbb{E}^d \) withd odd, is an ellipsoid if and only if it has the following property: for any pair of pointsx, y inS there is an affine transformation which mapsx ontoy and a suitable neighborhood ofx inS onto a neighborhood ofy inS.