English

Almost conformal transformation in a class of Riemannian manifolds

Differential Geometry 2011-06-15 v1

Abstract

We consider a 3-dimensional Riemannian manifold V with a metric g and an affinor structure q. The local coordinates of these tensors are circulant matrices. In V we define an almost conformal transformation. Using that definition we construct an infinite series of circulant metrics which are successively almost conformaly related. In this case we get some properties.

Keywords

Cite

@article{arxiv.1010.4975,
  title  = {Almost conformal transformation in a class of Riemannian manifolds},
  author = {Georgi Dzhelepov and Dimitar Razpopov and Iva Dokuzova},
  journal= {arXiv preprint arXiv:1010.4975},
  year   = {2011}
}