2006/04/25 by John Bolton, Bolton, John, Luc Vrancken +1
Mathematics · #53B20 #53B25 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities
paper · pdf · doi:10.48550/arxiv.math/0604543
openalex publication_date 2006/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently Oprea gave an improved version of Chen's inequality for Lagrangian submanifolds of \mathbb CPn(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 CP3 (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 CP2(4) and a suitable horizontal curve in S3(1).