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Results tagged with riemannian-geometry
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user 69533
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.
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Control of the metric in isothermal coordinates
Suppose you have a riemannian surface $(\Sigma,g)$, and an open simply-connected set $U \subset \Sigma$. You know that you can find isothermal coordinates - that is a map $\varphi : U \rightarrow D$ ( …
- 353
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Does uniform convergence of (Riemannian) distances implies convergence of conformal structures?
I don't know much about the Teichmüller space, so maybe the question I ask is well known; still I can not find the answer by myself...
Let $\Sigma$ be a closed surface. Let $g_m$ be a sequence of (sm …
- 353