General natural Einstein Kähler structures on tangent bundles

DOI10.1016/j.difgeo.2008.10.017zbMath1181.53059OpenAlexW1970481588WikidataQ115357367 ScholiaQ115357367MaRDI QIDQ1023411

Vasile Oproiu, Neculai Papaghiuc

Publication date: 11 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2008.10.017

zbMATH Keywords

Riemannian metrictangent bundleEinstein structuregeneral natural lift

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

On the geometry of the tangent bundle with gradient Sasaki metric ⋮ Unnamed Item ⋮ Connections which are harmonic with respect to general natural metrics ⋮ Universal curvature identities ⋮ Riemannian almost product and para-Hermitian cotangent bundles of general natural lift type ⋮ General natural \((\alpha ,\varepsilon )\)-structures ⋮ Harmonic almost complex structures with respect to general natural metrics ⋮ Sasaki metric on the tangent bundle of a Weyl manifold ⋮ Unnamed Item

Uses Software

• Mathematica

Cites Work

• On the differential geometry of tangent bundles of Riemannian manifolds
• A Kähler structure on the nonzero tangent bundle of a space form
• A locally symmetric Kähler Einstein structure on the tangent bundle of a space form
• Prolongations of tensor fields and connections to tangent bundles. I: General theory
• 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
• A Kähler Einstein structure on the tangent bundle of a space form
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