Classes of general natural almost anti-Hermitian structures on the cotangent bundles

DOI10.1007/S00009-010-0075-7zbMath1218.53033OpenAlexW2079412366MaRDI QIDQ545470

Simona-Luiza Druţă-Romaniuc

Publication date: 22 June 2011

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0075-7

zbMATH Keywords

natural liftsanti-Hermitian structuresanti-Kähler structuresconformally anti-Kähler structures

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 (8)

Musical isomorphisms and problems of lifts ⋮ Some structures on the coframe bundle with Cheeger-Gromoll metric ⋮ Harmonic functions and quadratic harmonic morphisms on Walker spaces ⋮ Unnamed Item ⋮ Para-complex structures on linear coframe bundle with Sasakian metric ⋮ Riemannian almost product and para-Hermitian cotangent bundles of general natural lift type ⋮ Harmonic almost complex structures with respect to general natural metrics ⋮ General natural metallic structure on tangent bundle

Cites Work

• Some aspects on the geometry of the tangent bundles and tangent sphere bundles of a Riemannian manifold
• On Riemannian \(g\)-natural metrics of the form \(a.gs + b.gh + c.gv\) on the tangent bundle of a Riemannian manifold \((M, g)\)
• Some classes of almost anti-Hermitian structures on the tangent bundle
• Structure of Symmetric Tensors of Type (0, 2) and Tensors of Type (1, 1) on the Tangent Bundle
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