On the curvature of the induced Riemannian metric on the frame bundle of a Riemannian manifold

zbMath0542.53014MaRDI QIDQ795343

Manuel de León, Luis A. Cordero

Publication date: 1986

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

Ricci curvaturecurvaturesectional curvatureEinstein manifoldframe bundlescalar curvaturesLevi- Civita connection

Mathematics Subject Classification ID

Local Riemannian geometry (53B20) Linear and affine connections (53B05)

Related Items (9)

Prolongation of G-structures to the frame bundle ⋮ Natural transformations of symmetric affine connections on manifolds to metrics on linear frame bundles: A classification ⋮ Curvatures of the diagonal lift from an affine manifold to the linear frame bundle ⋮ On the geometry of orthonormal frame bundles. II ⋮ On the geometry of orthonormal frame bundles ⋮ Tangent and frame bundle harmonic lifts ⋮ Para-complex structures on linear coframe bundle with Sasakian metric ⋮ On the frame bundle adapted to a submanifold ⋮ Almost complex structure in the frame bundle of an almost contact metric manifold

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