English

Anti-invariant Riemannian Submersions

Differential Geometry 2015-09-17 v1

Abstract

We give a general Lie-theoretic construction for anti-invariant almost Hermitian Riemannian submersions, anti-invariant quaternion Riemannian submersions, anti-invariant para-Hermitian Riemannian submersions, anti-invariant para-quaternion Riemannian submersions, and anti-invariant octonian Riemannian submersions. This yields many compact Einstein examples.

Keywords

Cite

@article{arxiv.1509.04842,
  title  = {Anti-invariant Riemannian Submersions},
  author = {P. Gilkey and M. Itoh and J. H. Park},
  journal= {arXiv preprint arXiv:1509.04842},
  year   = {2015}
}

Comments

10 pages