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Results tagged with surfaces
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user 171439
A surface is a two-dimensional topological manifold. The term can also be used to describe a smooth surface, depending on the context.
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Can we always find coordinates on a surface such that $K=K(u-v)$?
Let $(M^2,g)$ be a 2-dimensional Riemannian manifold. For any point $p\in M^2$ can we always find coordinates $(u,v)$ in a neighborhood $U$ of $p$ such that the Gaussian curvature is only a function o …
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