Invariance of g-natural metrics on linear frame bundles,

Abstract

In this paper we prove that each g-natural metric on a linear frame bundle LM and the orthogonal frame bundle OM over a Riemannian manifold (M;g) is invariant with respect to lifted maps of isometries of the base manifold.

Keywords

• Invariance
• g-natural
• metrics
• linear
• frame
• bundles