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Results tagged with dg.differential-geometry
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user 58888
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
4
votes
Accepted
Quotient of line bundle by compact Lie group (after Guillemin-Sternberg)
Yes, the claim is true. It's a special case of a more general fact, that, in quite some generality, equivariant vector bundles are equivariantly locally trivial.
In your case, given $p$, there is a "s …
- 2,062
4
votes
Accepted
Is this a submanifold?
Your definition implies that
$$ \tilde S = \bigcup_{p\in M} T_pM^{G_p}. $$
In particular, $\pi(\tilde S) = M$, and $\tilde S$ will be a submanifold of $TM$ iff the dimension of $T_pM^{G_p}$ is the sam …
- 2,062