Spinorial representation of submanifolds in metric Lie groups

Pierre Bayard (1) , Julien Roth (2) , Berenice Zavala Jimenez (1)

1 UNAM - Instituto de Matematicas
2 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

In this paper we give a spinorial representation of submanifolds of any dimension and codimension into Lie groups equipped with left invariant metrics.

Mots clés: Spin geometry; metric Lie groups; isometric immersions; Weierstrass; 53C40

Domaines: Géométrie différentielle [math.DG]

Pierre Bayard, Julien Roth, Berenice Zavala Jimenez. Spinorial representation of submanifolds in metric Lie groups. Journal of Geometry and Physics, 2017, 114, pp.348-374. ⟨10.1016/j.geomphys.2016.12.011⟩. ⟨hal-00739665v4⟩