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Results tagged with mg.metric-geometry
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user 605
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
7
votes
Subtlety in the definition of the Kobayashi metric
Let me give an example where $d \neq \delta$. I learned it from A Survey on Hyperbolicity of Projective
Hypersurfaces, Example 1.2.1.
Consider $D$ as the following open subset of $\mathbb C^2$
$$
D = …
- 8,828
3
votes
De Rham decomposition theorem, generalisations and good references
I suppose we have to ask the Riemannian manifold to be complete. Otherwise $\mathbb R^3 - \lbrace 0 \rbrace$ would be a counterexample.
I do not have an answer to question 2, but you might be intere …
- 8,828