On the topology of metric f-K-contact manifolds

2019/07/29 by Goertsches, Oliver, Loiudice, Eugenia · 2 citations
#Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1907.12350

Abstract

We observe that the class of metric f-K-contact manifolds, which naturally contains that of K-contact manifolds, is closed under forming mapping tori of automorphisms of the structure. We show that the de Rham cohomology of compact metric f-K-contact manifolds naturally splits off an exterior algebra, and relate the closed leaves of the characteristic foliation to its basic cohomology.

Cited by

• Weak Nearly \mathcal S- and Weak Nearly \mathcal C- Manifolds
• Characterizations of weak almost \mathcal S-manifolds with curvature properties

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