English

Immersion in Sn by complex spinors

Differential Geometry 2019-03-27 v1

Abstract

Since the first work of Thomas Friedrich showing that isometric immersions of Riemann surfaces are related to spinors and the Dirac equation, various works appeared generalizing this approach to more general Spin-manifolds, in particular the case of submanifolds of Spin-manifolds of constant curvature. In the present work we investigate the case of submanifolds of SpinC-manifolds of constant curvature.

Keywords

Cite

@article{arxiv.1903.10903,
  title  = {Immersion in Sn by complex spinors},
  author = {Rafael de Freitas Leão and Samuel Augusto Wainer},
  journal= {arXiv preprint arXiv:1903.10903},
  year   = {2019}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1709.01039

R2 v1 2026-06-23T08:19:33.741Z