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arXiv · 1206.0167

Quasi-umbilical affine hypersurfaces congruent to their centre map

A. J. Vanderwinden
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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.

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A. J. Vanderwinden. 2012-06-01. Quasi-umbilical affine hypersurfaces congruent to their centre map. https://arxiv.org/abs/1206.0167

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