English

Construction of an A-manifold on a principal torus bundle

Differential Geometry 2012-12-27 v3

Abstract

We construct a new example of an A-manifold, i.e. a Riemannian manifold with a cyclic-parallel Ricci tensor, which can be viewed as a generalization of the Einstein condition. The underlying manifold for our construction is a principal torus bundle over K\"ahler-Einstein manifold a with fibre a torus of arbitrary dimension.

Keywords

Cite

@article{arxiv.1205.7077,
  title  = {Construction of an A-manifold on a principal torus bundle},
  author = {Grzegorz Zborowski},
  journal= {arXiv preprint arXiv:1205.7077},
  year   = {2012}
}