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Results tagged with dg.differential-geometry
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user 14361
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
7
votes
3
answers
380
views
Characterization of certain curves of $\mathbb{R}^2$
Let $\Gamma \subset \mathbb{R}^2$ be a closed simple $C^1$ curve. For every $x \in \mathbb{R}^2\setminus\Gamma$ there exists some $p(x) \in \Gamma$ such that
$$
(H) \quad \text{ dist}(x,\Gamma)=|x-p( …
5
votes
2
answers
1k
views
Sobolev imbedding on Riemannian manifolds
Let $(M, g)$ be a non-compact smooth Riemannian manifold of dimension $n \ge 2$, and $G$ a subgroup of the isometry group of $(M,g)$, say with $G$ contained in the component of the identy.
Let $W^{1 …
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