English

A note on trans-Sasakian manifolds

Differential Geometry 2012-03-06 v1

Abstract

In this paper, we obtain some sufficient conditions for a 3-dimensional compact trans-Sasakian manifold of type (α,β)(\alpha ,\beta) to be homothetic to a Sasakian manifold. A characterization of a 3-dimensional cosymplectic manifold is also obtained.

Keywords

Cite

@article{arxiv.1203.0860,
  title  = {A note on trans-Sasakian manifolds},
  author = {Sharief Deshmukh and Mukut Mani Tripathi},
  journal= {arXiv preprint arXiv:1203.0860},
  year   = {2012}
}

Comments

accepted in "Mathematica Slovaca"

R2 v1 2026-06-21T20:28:59.293Z