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

DOI10.1155/S0161171201002009zbMath0981.53063OpenAlexW2164787623MaRDI QIDQ5932788

Vasile Oproiu

Publication date: 11 March 2002

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/49087

zbMATH Keywords

Riemannian manifoldconstant holomorphic sectional curvatureconstant negative curvatureKähler-Einstein structure

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (12)

On Einstein Riemannian \(g\)-natural metrics on unit tangent sphere bundles ⋮ Curvatures of spherically symmetric metrics on vector bundles ⋮ Finsler manifolds with a special class of \(g\)-natural metrics ⋮ Affine Killing vector fields on homogeneous surfaces with torsion ⋮ Some notes concerning Riemannian metrics of Cheeger Gromoll type ⋮ Naturality of homogeneous metrics on stiefel manifolds \(SO(m + 1)/SO(m - 1)\) ⋮ On some hereditary properties of Riemannian \(g\)-natural metrics on tangent bundles of Riemannian manifolds ⋮ General natural Einstein Kähler structures on tangent bundles ⋮ Unnamed Item ⋮ A Kähler structure on Finsler spaces with nonzero constant flag curvature ⋮ ALMOST PARACONTACT STRUCTURES ON TANGENT SPHERE BUNDLE ⋮ MECHANICAL SYSTEMS ON AN ALMOST KÄHLER MODEL OF A FINSLER MANIFOLD

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