Natural transformations of symmetric affine connections on manifolds to metrics on linear frame bundles: A classification

DOI10.1007/BF01636931zbMath0639.53022MaRDI QIDQ1100448

Masami Sekizawa

Publication date: 1988

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178378

zbMATH Keywords

affine connectionsnatural transformationsframe bundles

Mathematics Subject Classification ID

Linear and affine connections (53B05)

Related Items (3)

Curvatures of the diagonal lift from an affine manifold to the linear frame bundle ⋮ Natural bundles and operators ⋮ Tensor fields of type (0,2) on linear frame bundles and cotangent bundles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lifts of tensor fields to the frame bundle
• On the curvature of the induced Riemannian metric on the frame bundle of a Riemannian manifold
• On the differential geometry of frame bundles
• Recurrent Tensors on a Linearly Connected Differentiable Manifold
• On the differential geometry of frame bundles of Riemannian manifolds.

This page was built for publication: Natural transformations of symmetric affine connections on manifolds to metrics on linear frame bundles: A classification