Question: Is the set of all conformal structures on $\mathbb{R}^n$ a manifold? Does it have a name? A pointer to a reference will suffice. Definition: A conformal structure on $\mathbb{R}^n$ is an equivalence class of inner products, with two inner products $f,g$ equivalent, $f \sim g$, if and only $f = \lambda g$ for some […]

Could someone provide details on how to compute fundamental groups of real and complex Grassmann and Stiefel manifolds?

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