Spinors and isometric immersions of surfaces in 4-dimensional products

Julien Roth (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

We prove a spinorial characterization of surfaces isometrically immersed into the $4$-dimensional product spaces $\M^3(c)\times\RR$ and $\M^2(c)\times\RR^2$, where $\M^n(c)$ is the $n$-dimensional real space form of curvature $c$.

Mots clés: Surfaces; Dirac operator; isometric immersions

Domaines: Géométrie différentielle [math.DG]

Julien Roth. Spinors and isometric immersions of surfaces in 4-dimensional products. Bulletin of the Belgian Mathematical Society - Simon Stevin, 2014, 21 (4), pp.635-652. ⟨hal-00933532⟩