English

Weakly complex inner symmetric spaces

Differential Geometry 2010-09-03 v2 Geometric Topology Representation Theory

Abstract

We prove that the tangent bundle of an inner symmetric space MM of compact type is weakly complex if and only if MM is a Riemannian product M1×...×MkM_1\times...\times M_k, each MiM_i being an even-dimensional round sphere or Hermitian symmetric.

Keywords

Cite

@article{arxiv.1006.2457,
  title  = {Weakly complex inner symmetric spaces},
  author = {Andrei Moroianu and Uwe Semmelmann},
  journal= {arXiv preprint arXiv:1006.2457},
  year   = {2010}
}

Comments

The manuscript was withdrawn since it was merged into the related article arXiv:1003.5172

R2 v1 2026-06-21T15:35:23.234Z