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Riemann surfaces(Riemannian surfaces) is one dimensional complex manifold. For questions about classical examples in complex analysis, complex geometry, surface topology.

7 votes

Visualizing hyperbolic metric of punctured sphere

I think trying to embed such things curvature-preserving into 3-dimensional space is just the wrong way to think about them. For example iis reallyhard to visualize the flat metric on a torus like tha …
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