(κ,μ,\upsion=const.)-Contact Metric Manifolds With ξ(I_M)=0

2012/06/12 by İrem Küpeli Erken, Erken, İrem Küpeli, Cengizhan Murathan +1 · 1 citation
Mathematics · Physics and Astronomy · #53C15 #53C25 #53D10 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C15 #msc:53C25 #msc:53D10

paper · pdf · doi:10.48550/arxiv.1206.2678

14 pages, submitted

arxiv created 2012/06/12 · openalex publication_date 2012/06/12 · arxiv updated 2012/06/14 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We give a local classification of (κ,μ,\upsion=const.)-contact metric manifold (M,ϕ,ξ,η,g) with κ<1 which satisfies the condition" the Boeckx invariant function I_M=((1-(μ/2))/(\surd(1-κ))) is constant along the integral curves of the characteristic vector field ξ".

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