## Bulletin of the Belgian Mathematical Society - Simon Stevin

### Spinors and isometric immersions of surfaces in 4-dimensional products

Julien Roth

#### Abstract

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

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 21, Number 4 (2014), 635-652.

Dates
First available in Project Euclid: 23 October 2014