2002/03/05 by Paul-Andi Nagy, Nagy, Paul-Andi
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #53C12 #53C24 #53C28 #53C29 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Microtubule and mitosis dynamics #math.DG #msc:53C12 #msc:53C24 #msc:53C28 #msc:53C29
paper · pdf · doi:10.48550/arxiv.math/0203038
28 pages
arxiv created 2002/03/05 · openalex publication_date 2002/03/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider strict and complete nearly Kaehler manifolds with the canonical Hermitian connection. The holonomy representation of the canonical Hermitian connection is studied. We show that a strict and complete nearly Kaehler is locally a Riemannian product of homogenous nearly Kaehler spaces, twistor spaces over quaternionic Kaehler manifolds and 6-dimensional nearly Kaehler manifolds. As an application we obtain structure results for totally geodesic Riemannian foliations admitting a compatible Kaehler structure. Finally, we obtain a classification result for the homogenous case, reducing a conjecture of Wolf and Gray to its 6-dimensional form.