Abstract : In this paper, we investigate Lagrangian submanifolds in the homogeneous nearly
Kähler S3 × S3. We introduce and make use of a triplet of angle functions to describe the
geometry of a Lagrangian submanifold in S3 × S3. We construct a new example of a flat
Lagrangian torus and give a complete classification of all the Lagrangian immersions of
spaces of constant sectional curvature. As a corollary of our main result, we obtain that the
radius of a round Lagrangian sphere in the homogeneous nearly Kähler S3 × S3 can only be
2/√3 or 4/√3.
https://hal-uphf.archives-ouvertes.fr/hal-03155933 Contributor : Julie CagniardConnect in order to contact the contributor Submitted on : Tuesday, March 2, 2021 - 10:33:57 AM Last modification on : Wednesday, November 3, 2021 - 9:06:30 AM
Luc Vrancken. Lagrangian submanifolds in the homogeneous nearly Kahler S3×S3 with constant sectional curvature. XIX Geometrical Seminar, Aug 2016, Zlatibor, Serbia. ⟨hal-03155933⟩