Geometry of Kaluza-Klein metrics on the sphere \(\mathbb S^3\)

DOI10.1007/S10231-012-0250-5zbMath1300.53045OpenAlexW2055666878MaRDI QIDQ380397

Giovanni Calvaruso, Domenico Perrone

Publication date: 13 November 2013

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-012-0250-5

zbMATH Keywords

harmonic morphismsalmost contact metric structuresberger metricshomogeneous Riemannian structuresKaluza-Klein metricsunit tangent sphere bundles

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometric aspects of harmonic maps (53C43) Almost contact and almost symplectic manifolds (53D15)

Related Items (7)

Kaluza-Klein type Ricci solitons on unit tangent sphere bundles ⋮ Minimal unit vector fields with respect to Riemannian natural metrics ⋮ Isometric immersions of generalized Berger spheres in \(\mathbb{S}^4(1)\) and \(\mathbb{C}P^2(4)\) ⋮ Paracontact metric structures on the unit tangent sphere bundle ⋮ Metrics of Kaluza–Klein type on the anti‐de Sitter space ⋮ Natural Ricci Solitons on tangent and unit tangent bundles ⋮ Classification of homogeneous almost cosymplectic three-manifolds

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