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Conformality and Q-harmonicity in sub-Riemannian Manifolds
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open in viewerWe prove the equivalence of several natural notions of conformal maps between sub-Riemannian manifolds. Our main contribution is in the setting of those manifolds that support a suitable regularity theory for subelliptic p-Laplacian operators. For such manifolds we prove a Liouville-type theorem, i.e., 1-quasiconformal maps are smooth. In particular, we prove that contact manifolds support the suitable regularity. The main new technical tools are a sub-Riemannian version of p-harmonic coordinates and a technique of propagation of regularity from horizontal layers.
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- 12/11/17
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- 2020-09-22
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缩略图 | 标题 | 公开度 | Embargo Release Date | 行动 |
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Conformality_and_Q-harmonicity_in_sub-Riemannian_manifolds.pdf | 公开 | 下载 |
Permanent link to this page: https://digital.wpi.edu/show/mc87ps567