Classification of the locally strongly convex centroaffine hypersurfaces with parallel cubic form
Differential Geometry
2017-12-15 v1
Abstract
In this paper, we study locally strongly convex centroaffine hypersurfaces with parallel cubic form with respect to the Levi-Civita connection of the centroaffine metric. As the main result, we obtain a complete classification of such centroaffine hypersurfaces. The result of this paper is a centroaffine version of the complete classification of locally strongly convex equiaffine hypersurfaces with parallel cubic form due to Hu, Li and Vrancken [12].
Keywords
Cite
@article{arxiv.1701.03899,
title = {Classification of the locally strongly convex centroaffine hypersurfaces with parallel cubic form},
author = {Xiuxiu Cheng and Zejun Hu and Marilena Moruz},
journal= {arXiv preprint arXiv:1701.03899},
year = {2017}
}
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44 pages