Quasi-umbilical affine hypersurfaces congruent to their centre map
Differential Geometry
2012-06-04 v1
Abstract
In this paper, we study strictly convex affine hypersurfaces centroaffinely congruent to their centre map, in the case when the shape operator has two distinct eigenvalues: one of multiplicity 1, and one nonzero of multiplicity n-1. We show how to construct them from (n-1)-dimensional affine hyperspheres.
Keywords
Cite
@article{arxiv.1206.0167,
title = {Quasi-umbilical affine hypersurfaces congruent to their centre map},
author = {A. J. Vanderwinden},
journal= {arXiv preprint arXiv:1206.0167},
year = {2012}
}