Let $\xi$ be a vector bundle of rank $m$ and $Fr\left(\xi\right)$ the $SO\left(m\right)$-principal frames bundle associated to $\xi$. What is the link between Pontryagin classes of $\xi$ and $Fr\left(\xi\right)$? Thanks!
2026-04-02 17:05:19.1775149519
Pontryagin classes of Frame bundle
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