Classification results for three-dimensional (para)contact metric and almost (para)cosymplectic $(\kappa,\mu)$-spaces
Differential Geometry
2020-09-23 v2
Abstract
It is provided an overview of existed results concerning classification of contact metric, almost cosymplectic and almost Kenmotsu -manifolds. In the case of dimension three it is described in full details structure of contact metric or almost cosymplectic -spaces. The second part of the paper addresses three-dimensional paracontact metric and almost paracosymplectic -spaces. There is obtained local classification of paracontact metric -spaces, and almost paracosymplectic -spaces, for every possible value of .
Keywords
Cite
@article{arxiv.2009.00372,
title = {Classification results for three-dimensional (para)contact metric and almost (para)cosymplectic $(\kappa,\mu)$-spaces},
author = {Piotr Dacko},
journal= {arXiv preprint arXiv:2009.00372},
year = {2020}
}
Comments
4 tables. arXiv admin note: text overlap with arXiv:1909.00797. Local classification for paracontact metric and paracosymplectic manifolds extended for all possible value of $\kappa$