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The Grushin plane and quasiconformal Jacobians - MaRDI portal

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The Grushin plane and quasiconformal Jacobians

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Publication:6229402

arXiv1112.0078MaRDI QIDQ6229402

Author name not available (Why is that?)

Publication date: 30 November 2011

Abstract: We construct a quasiconformal map from the Grushin plane to the Euclidean plane. Then, we generalize the Grushin plane slightly and explain how the Grushin plane can serve as an intermediary in dealing with quasiconformal maps on Euclidean spaces. In particular, we construct a family of quasiconformal embeddings of the Euclidean plane into larger Euclidean spaces whose Jacobians fail to be locally integrable on a line.












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