English

On the geometry of trans-para-Sasakian manifolds

Differential Geometry 2019-01-01 v2

Abstract

In this paper, we introduce the trans-para-Sasakian manifolds and we study their geometry. These manifolds are an analogue of the trans-Sasakian manifolds in the Riemannian geometry. We shall investigate many curvature properties of these manifolds and we shall give many conditions under which the manifolds are either η\eta-Einstein or Einstein manifolds.

Keywords

Cite

@article{arxiv.1812.01979,
  title  = {On the geometry of trans-para-Sasakian manifolds},
  author = {Simeon Zamkovoy},
  journal= {arXiv preprint arXiv:1812.01979},
  year   = {2019}
}