On the classification of almost contact metric manifolds

2018/02/22 by Cabrera, Francisco Martín
#53C10 #53D15 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1802.08017

Abstract

On connected manifolds of dimension higher than three, the non-existence of 132 Chinea and González-Dávila types of almost contact metric structures is proved. This is a consequence of some interrelations among components of the intrinsic torsion of an almost contact metric structure. Such interrelations allow to describe the exterior derivatives of some relevant forms in the context of almost contact metric geometry.

Related

• A new approach to the classification of almost contact metric manifolds via intrinsic endomorphisms
• Harmonic almost contact metric manifolds revisited
• The Intrinsic Geometry of Almost Contact Metric Manifolds
• A generalization of contact metric manifolds
• An Almost Contact Structure on G₂-Manifolds