A Kähler structure on the nonzero tangent bundle of a space form

DOI10.1016/S0926-2245(99)00013-3zbMath0926.53014OpenAlexW1985936848WikidataQ115337424 ScholiaQ115337424MaRDI QIDQ1303769

Neculai Papaghiuc, Vasile Oproiu

Publication date: 22 September 1999

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

Full work available at URL: https://doi.org/10.1016/s0926-2245(99)00013-3

zbMATH Keywords

Kähler manifoldalmost complex structurealmost Kähler manifoldLagrangiantangent bundlenonlinear connection

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items

Finsler manifolds with a special class of \(g\)-natural metrics ⋮ On a class of Riemannian metrics arising from Finsler structures ⋮ FINSLER AND LAGRANGE GEOMETRIES IN EINSTEIN AND STRING GRAVITY ⋮ On some hereditary properties of Riemannian \(g\)-natural metrics on tangent bundles of Riemannian manifolds ⋮ General natural Einstein Kähler structures on tangent bundles ⋮ A Kähler structure on Finsler spaces with nonzero constant flag curvature ⋮ ALMOST PARACONTACT STRUCTURES ON TANGENT SPHERE BUNDLE

Cites Work

• On the differential geometry of tangent bundles of Riemannian manifolds
• Prolongations of tensor fields and connections to tangent bundles. I: General theory
• On the Geometry of the Tangent Bundle.
• Métriques kählériennes et fibrés holomorphes
• Structure of Symmetric Tensors of Type (0, 2) and Tensors of Type (1, 1) on the Tangent Bundle
• Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.
• Lagrange geometry
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