English

Notes on Ricci solitons in $f$-cosymplectic manifolds

Differential Geometry 2018-01-18 v1

Abstract

The purpose of this article is to study an ff-cosymplectic manifold MM admitting Ricci solitons. Here we consider mainly two classes of Ricci solitons on ff-cosymplectic manifolds. One is the class of contact Ricci solitons. The other is the class of gradient Ricci solitons, for which we give the local classifications of MM. Meanwhile, we also give some properties of ff-cosymplectic manifolds.

Keywords

Cite

@article{arxiv.1801.05530,
  title  = {Notes on Ricci solitons in $f$-cosymplectic manifolds},
  author = {Xiaomin Chen},
  journal= {arXiv preprint arXiv:1801.05530},
  year   = {2018}
}