Lagrangian submanifolds in the nearly kaehler s³ × s³

2016/04/18 by Dioos, Bart, Vrancken, Luc, Wang, Xianfeng
#53C42 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1604.05060

Abstract

In this paper, we investigate Lagrangian submanifolds in the nearly Kaehler S³ × S³. We construct a new example which is a at Lagrangian torus. We give a complete classification of all the Lagrangian immersions of spaces of constant sectional curvature in the nearly Kaehler S³× S³.

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