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δ ] (2, 2)-ideal centroaffine hypersurfaces of dimension 5

Abstract : The notion of an ideal submanifold was introduced by Chen at the end of the last century. A survey of recent results in this area can be found in his book [9]. Recently, in [10], an optimal collection of Chen's inequalities was obtained for Lagrangian submanifolds in complex space forms. As shown in [2], these inequalities have an immediate counterpart in centroaffine differential geometry. Centroaffine hypersurfaces realising the equality in one of these inequalities are called ideal centroaffine hypersurfaces.
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Submitted on : Monday, March 29, 2021 - 5:05:37 PM
Last modification on : Saturday, October 9, 2021 - 3:15:39 AM

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Handan Yıldırım, Luc Vrancken. δ ] (2, 2)-ideal centroaffine hypersurfaces of dimension 5. Taiwanese Journal of Mathematics, TJM, Mathematical Society of the Republic of China (Taiwan), 2017, 21 (2), ⟨10.11650/tjm/7809⟩. ⟨hal-03184684⟩

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