nLab
stable tangent bundle

Contents

Contents

Idea

By the stable tangent bundle of a smooth manifold one means the Whitney sum of the actual tangent bundle with any trivial vector bundle.

Specifically, for {G k} k\{G_k\}_{k \in \mathbb{N}} a sequence of Lie groups, a “G-structure on the stable tangent bundle” is an actual Gk-structure on any such direct sum TX̲ nT X \oplus \underline{\mathbb{R}}^n, for some nn \in \mathbb{N}.

Examples

Created on November 20, 2020 at 10:44:37. See the history of this page for a list of all contributions to it.