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Results tagged with submersions
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user 530303
5
votes
0
answers
436
views
Upper bound on the sectional curvature of a Riemannian submersion
Consider the manifold $M := \operatorname{SO}(n) \times \mathbb{S}^{n-1}$, endowed with the product metric given by the bi-invariant metric of $\operatorname{SO}(n)$ and the round metric of $\mathbb{S …
- 45
4
votes
1
answer
209
views
Riemannian submersions and associated fibre bundles
Furthermore, if $H$ acts isometrically both on $X$ and $X \times Y$, there exist metrics on $X/H$ and $X \times_H Y$ making $\pi_2$ and $\pi_3$ Riemannian submersions. …
- 45