English

Parallel Spinors on Pseudo-Riemannian Spin C Manifolds

Differential Geometry 2007-05-23 v1

Abstract

We describe, by their holonomy groups, all complete simply connected irreducible non-locally symmetric pseudo-Riemannian SpinC manifolds which admit parallel spinors. So we generalize the Riemannian SpinC case and the pseudo-Riemannian Spin one.

Keywords

Cite

@article{arxiv.math/0411222,
  title  = {Parallel Spinors on Pseudo-Riemannian Spin C Manifolds},
  author = {Aziz Ikemakhen},
  journal= {arXiv preprint arXiv:math/0411222},
  year   = {2007}
}
R2 v1 2026-07-22T17:12:12.420Z