A characterization of the Riemann extension\newline in terms of harmonicity

DOI10.21136/CMJ.2017.0459-15zbMath1458.53034MaRDI QIDQ5270963

Şemsi Eken, Cornelia-Livia Bejan

Publication date: 3 July 2017

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/146048

zbMATH Keywords

cotangent bundlesemi-Riemannian manifoldnatural Riemann extensionharmonic tensor field

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Linear and affine connections (53B05)

Related Items (4)

IFP transformations on the cotangent bundle with the modified Riemannian extension ⋮ Almost para-Hermitian and almost paracontact metric structures induced by natural Riemann extensions ⋮ Notes About a New Metric on the Cotangent Bundle ⋮ Unnamed Item

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