2020/09/01 by Piotr Dacko, Dacko, Piotr
Mathematics · Physics and Astronomy · #53C15 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Fixed Point Theorems Analysis #Geometric Analysis and Curvature Flows
paper · pdf · doi:10.48550/arxiv.2009.00372
openalex publication_date 2020/09/01 · openalex created_date 2022/09/12 · openalex updated_date 2026/07/28
It is provided an overview of existed results concerning classification of contact metric, almost cosymplectic and almost Kenmotsu (κ,μ)-manifolds. In the case of dimension three it is described in full details structure of contact metric or almost cosymplectic (κ,μ)-spaces. The second part of the paper addresses three-dimensional paracontact metric and almost paracosymplectic (κ,μ)-spaces. There is obtained local classification of paracontact metric (κ,μ)-spaces, and almost paracosymplectic (κ,μ)-spaces, for every possible value of κ.