A Study of Three-Dimensional Paracontact $(\kappa ,\mu ,\nu) $-SPACES
Differential Geometry
2017-05-02 v4
Abstract
This paper is a study of three-dimensional paracontact metric (\k{appa},{\mu},{\nu})-manifolds. Three dimensional paracontact metric manifolds whose Reeb vector field {\xi} is harmonic are characterized. We focus on some curvature properties by considering the class of paracontact metric (\k{appa},{\mu},{\nu})-manifolds under a condition which is given at Definition 3.1. We study properties of such manifolds according to the cases \k{appa}>-1, \k{appa}=-1, \k{appa}<-1 and construct new examples of such manifolds for each case.
Keywords
Cite
@article{arxiv.1305.1511,
title = {A Study of Three-Dimensional Paracontact $(\kappa ,\mu ,\nu) $-SPACES},
author = {Irem Kupeli Erken and Cengizhan Murathan},
journal= {arXiv preprint arXiv:1305.1511},
year = {2017}
}
Comments
26 pages. Accepted for publication in the International Journal of Geometric Methods in Modern Physics, DOI: 10.1142/S0219887817501067