Reconstruction of Centrally Symmetrical Convex Bodies by Projection Curvature Radii
Metric Geometry
2007-05-23 v1 Differential Geometry
Abstract
The article considers the problem of existence and uniqueness of centrally symmetrical convex body for which the projection curvature radius function coincides with a given flag function. A necessary and sufficient condition is found that ensures a positive answer. An algorithm for construction the body in question is proposed
Keywords
Cite
@article{arxiv.math/0412472,
title = {Reconstruction of Centrally Symmetrical Convex Bodies by Projection Curvature Radii},
author = {Rafik Aramyan},
journal= {arXiv preprint arXiv:math/0412472},
year = {2007}
}
Comments
5 pages; no figures