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Article Dans Une Revue Results in mathematics = Resultate der Mathematik Année : 2017

Classification of the Locally Strongly Convex Centroaffine Hypersurfaces with Parallel Cubic Form

Résumé

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 et al. (J Differ Geom 87:239–307, 2011)

Dates et versions

hal-03233934 , version 1 (25-05-2021)

Identifiants

Citer

Xiuxiu Cheng, Zejun Hu, Marilena Moruz. Classification of the Locally Strongly Convex Centroaffine Hypersurfaces with Parallel Cubic Form. Results in mathematics = Resultate der Mathematik, 2017, 72 (1-2), pp.419-469. ⟨10.1007/s00025-017-0651-2⟩. ⟨hal-03233934⟩
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