Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894516 | Journal of Geometry and Physics | 2016 | 17 Pages |
Abstract
In this paper, we study the Lagrangian submanifolds in the homogeneous nearly Kähler S3×S3S3×S3 with parallel second fundamental form. We first prove that every Lagrangian submanifold with parallel second fundamental form in any 6-dimensional strict nearly Kähler manifold is totally geodesic. Then we give a complete classification of the totally geodesic Lagrangian submanifolds in the homogeneous nearly Kähler S3×S3S3×S3.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Y. Zhang, B. Dioos, Z. Hu, L. Vrancken, X. Wang,