A Study of Three-Dimensional Paracontact -SPACES
arXiv:1305.1511 · doi:10.1142/S0219887817501067
Abstract
This paper is a study of three-dimensional paracontact metric (\k{appa},μ,ν)-manifolds. Three dimensional paracontact metric manifolds whose Reeb vector field ξ is harmonic are characterized. We focus on some curvature properties by considering the class of paracontact metric (\k{appa},μ,ν)-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.
26 pages. Accepted for publication in the International Journal of Geometric Methods in Modern Physics, DOI: 10.1142/S0219887817501067