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

In particular, for $G = 1$ the trivial group, a stable framing? is a trivialization of the stable tangent bundle.

## Examples

Last revised on December 3, 2020 at 14:36:54. See the history of this page for a list of all contributions to it.