Lagrangian submanifolds attaining equality in the improved Chen's inequality

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dc.creatorBolton, John
dc.creatorVrancken, Luc
dc.date2006-04-25
dc.date.accessioned2026-07-07T07:11:15Z
dc.date.available2026-07-07T07:11:15Z
dc.descriptionRecently Oprea gave an improved version of Chen's inequality for Lagrangian submanifolds of $\mathbb CP^n(4)$. For minimal submanifolds this inequality coincides with the original previously proved version. We consider here those non minimal 3-dimensional Lagrangian submanifolds in $\mathbb CP^3 (4)$ attaining at all points equality in the improved Chen inequality. We show how all such submanifolds may be obtained starting from a minimal Lagrangian surface in $\mathbb CP^2(4)$ and a suitable horizontal curve in $S^3(1)$.
dc.identifierhttps://arxiv.org/abs/math/0604543
dc.identifierhttp://arxiv.org/abs/math/0604543
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111689
dc.subjectDifferential Geometry
dc.subject53B25;53B20
dc.titleLagrangian submanifolds attaining equality in the improved Chen's inequality
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