A HELMHOLTZ-LIE TYPE CHARACTERIZATION OF ELLIPSOIDS .1.

Authors
GRUBER PM
Citation
Pm. Gruber, A HELMHOLTZ-LIE TYPE CHARACTERIZATION OF ELLIPSOIDS .1., Discrete & computational geometry, 13(3-4), 1995, pp. 517-527
Citations number
26
Categorie Soggetti
Computer Sciences, Special Topics","Mathematics, General","Computer Science Theory & Methods",Mathematics
Journal title
Discrete & computational geometry → ACNP
ISSN journal
01795376
Volume
13
Issue
3-4
Year of publication
1995
Pages
517 - 527
Database
ISI
SICI code
0179-5376(1995)13:3-4<517:AHTCOE>2.0.ZU;2-A
Abstract
A closed convex surface S in E(d) With d odd, is an ellipsoid if and o nly if it has the following property: for any pair of points x,y in S there is an affine transformation which maps x onto y and a suitable n eighborhood of x in S onto a neighborhood of y in S.