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arXiv · 1701.03899

Classification of the locally strongly convex centroaffine hypersurfaces with parallel cubic form

Xiuxiu Cheng·Zejun Hu·Marilena Moruz
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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].

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Xiuxiu Cheng, Zejun Hu, Marilena Moruz. 2017-01-14. Classification of the locally strongly convex centroaffine hypersurfaces with parallel cubic form. https://doi.org/10.1007/s00025-017-0651-2

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