Connections which are harmonic with respect to general natural metrics

DOI10.1016/j.difgeo.2012.05.004zbMath1252.53083OpenAlexW2054333232WikidataQ115356712 ScholiaQ115356712MaRDI QIDQ435210

Cornelia-Livia Bejan, Simona-Luiza Druţă-Romaniuc

Publication date: 11 July 2012

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2012.05.004

zbMATH Keywords

nonlinear connectiongeneral natural lifted metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Connections (general theory) (53C05)

Related Items

Laplace, Einstein and related equations on \(D\)-general warping ⋮ Harmonic metrics on four dimensional non-reductive homogeneous manifolds ⋮ Harmonic functions and quadratic harmonic morphisms on Walker spaces ⋮ Problems of lifts in symplectic geometry ⋮ Harmonic almost complex structures with respect to general natural metrics ⋮ Sasaki metric on the tangent bundle of a Weyl manifold ⋮ Structures which are harmonic with respect to Walker metrics

Cites Work

• On the differential geometry of tangent bundles of Riemannian manifolds
• Some aspects on the geometry of the tangent bundles and tangent sphere bundles of a Riemannian manifold
• General natural Einstein Kähler structures on tangent bundles
• Harmonic endomorphism fields
• On some hereditary properties of Riemannian \(g\)-natural metrics on tangent bundles of Riemannian manifolds
• Structure presque tangente et connexions. II
• Natural maps depending on reductions of frame bundles
• Natural Vector Bundles and Natural Differential Operators
• Structure of Symmetric Tensors of Type (0, 2) and Tensors of Type (1, 1) on the Tangent Bundle
• Harmonicity of a foliation and of an associated map
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