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Results tagged with dg.differential-geometry
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user 530303
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
4
votes
1
answer
209
views
Riemannian submersions and associated fibre bundles
My question is as follows, it is related to the chapter of Associated Fibre Bundles from [1].
Let $(X, g_X)$ and $(Y, g_Y)$ be two smooth manifolds and let $H$ be a Lie group which acts smoothly on bo …
- 45
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