Invariance of the naturally lifted metrics on linear frame bundles over affine manifolds

Abstract

The natural lifts from affine manifolds to linear frame bundles have been classed by the second author in 1988. In this paper we prove the invariance Theorem for these natural lifts.

But, at the beginning, we insert a short survey about some "prominent" natural lifts studied earlier by the present authors.

Keywords

• Invariance
• frame Invariance
• naturally
• lifted
• metrics
• linear
• frame
• bundles
• affine
• manifolds