𝔖 Bobbio Scriptorium
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Differential geometry of frame bundles

Publisher
Springer Netherlands
Year
1991
Tongue
English
Weight
336 KB
Volume
25
Category
Article
ISSN
0167-8019

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πŸ“œ SIMILAR VOLUMES

On the geometry of orthonormal frame bun
On the geometry of orthonormal frame bundles
✍ OldΕ™ich Kowalski; Masami Sekizawa πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 147 KB

## Abstract In this paper we are studying the geometry of orthonormal frame bundles over Riemannian manifolds, which are equipped, as submanifolds of the full frame bundles, by the induced Sasaki–Mok metric. All kinds of curvatures are calculated and many geometric results are proved. It seems that

Isometry groups of orthonormal frame bun
Isometry groups of orthonormal frame bundles
✍ Robert J. Fisher; Kyung Bailee πŸ“‚ Article πŸ“… 1986 πŸ› Springer 🌐 English βš– 258 KB

Let M be a connected, oriented Riemannian n-manifold, and let SO(M) be its bundle of oriented orthonormal frames. This principal SO(n)-bundle SO(M)~,M will have a Riemannian metric coming from the Levi-Civita connection together with the bi-invariant metric on SO(n), namely, -1/[2(n-1)] times the Ki