On the topology of metric \(f\)-\(K\)-contact manifolds

DOI10.1007/s00605-020-01400-zzbMath1478.53087arXiv1907.12350OpenAlexW3010043923MaRDI QIDQ2187960

Eugenia Loiudice, Oliver Goertsches

Publication date: 3 June 2020

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.12350

zbMATH Keywords

basic cohomologyfoliationsmapping torusMorse-Bott functionsmetric \(f\)-\(K\)-contact manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10) CR structures, CR operators, and generalizations (32V05)

Related Items (3)

Equivariant basic cohomology under deformations ⋮ Cohomology of manifolds with structure group \(U(n)\times O(s)\) ⋮ How to construct all metric \(f\)-\(K\)-contact manifolds

Cites Work

• Equivariant cohomology of \(K\)-contact manifolds
• Topology of co-symplectic/co-Kähler manifolds
• Equivariant basic cohomology of Riemannian foliations
• Localization of Chern-Simons type invariants of Riemannian foliations
• On locally conformal symplectic manifolds of the first kind
• On the structure and symmetry properties of almost \(\mathcal S\)-manifolds
• Generalized Sasakian-space-forms
• Topology and closed characteristics of \(K\)-contact manifolds
• Almost formality of quasi-Sasakian and Vaisman manifolds with applications to nilmanifolds
• Toric actions in cosymplectic geometry
• On the curvature of a generalization of contact metric manifolds
• Gypersurfaces in almost contact manifolds
• Geometry of manifolds with structural group \(\mathcal U(n)\times\mathcal O(s)\)
• Fixed Points of Isometries
• Riemannian Geometry
• Generalized S-space-forms with two structure vector fields
• Riemannian geometry of contact and symplectic manifolds
• Maps interchanging \(f\)-structures and their harmonicity
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