Spinorial Representation of Submanifolds in Riemannian Space Forms
Differential Geometry
2018-03-16 v1
Abstract
In this paper we give a spinorial representation of submanifolds of any dimension and codimension into Riemannian space forms in terms of the existence of so called generalized Killing spinors. We then discuss several applications, among them a new and concise proof of the fundamental theorem of submanifold theory. We also recover results of T. Friedrich, B. Morel and the authors in dimension 2 and 3.
Keywords
Cite
@article{arxiv.1602.02919,
title = {Spinorial Representation of Submanifolds in Riemannian Space Forms},
author = {P. Bayard and M. -A. Lawn and J. Roth},
journal= {arXiv preprint arXiv:1602.02919},
year = {2018}
}
Comments
24 pages