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Tautological and normal bundles over flag manifolds and jet bundles
Hello! Recently, doing my research on jet bundles, I was led to consider the following construction.
Let $V$ be a real vector space of dimension $n$. Consider the flag manifold $G(V,k,l)$ and the t …
1
vote
1
answer
231
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The bundle of symmetric affine connections as quotient of the second-order frame bundle
Consider the following bundle
$$
\check{J}^k(M,\mathbb{R}_0^n):=\{[\boldsymbol{x}]_{m,0}^k\mid\boldsymbol{x}\textrm{ is a local diffeomorphism sending }m\in M\textrm{ to }0\in \mathbb{R}^n\}
$$
of $k$-jets …