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Results tagged with riemannian-geometry
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user 51695
Riemannian Geometry is a subfield of Differential Geometry, which specifically studies "Riemannian Manifolds", manifolds with "Riemannian Metrics", which means that they are equipped with continuous inner products.
1
vote
Accepted
Isoperimetric inequality for exterior domains on $\mathbb{H}^{n}$
I might be missing something, but if you require $\Omega$ to be precompact in $\mathbb{H}^n \setminus K$, then $K$ makes no difference for the purpose of determining the measures and you can use the o …
- 2,504
2
votes
Accepted
Does weak continuity of Jacobians hold for non nondegenerate maps?
There is a counterexample, however there might be ways to avoid it.
Take $\mathcal{M} = \mathcal{N} =\mathbb{S}^2$, but now consider sequence of maps that cover the sphere twice, where you shrink the …
- 2,504