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Conformal surface embeddings and extrema...
Kahn, Jeremy...
Conformal surface embeddings and extremal length by Kahn, Jeremy ( Author )
N.A
01-01-2015
Given two Riemann surfaces with boundary and a homotopy class of topological embeddings between them, there is a conformal embedding in the homotopy class if and only if the extremal length of every simple multi-curve is decreased under the embedding. Furthermore, the homotopy class has a conformal embedding that misses an open disk if and only if extremal lengths are decreased by a definite ratio. This ratio remains bounded away from one under covers.
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Article
pdf
36.88 KB
English
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MYR 0.00
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http://arxiv.org/abs/1507.05294
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