Asymptotic behavior at infinity of the admissible growth of the quasiconformality coefficient and the injectivity of immersions of sub-Riemannian manifolds

DOI10.1134/S008154381208007XzbMATH Open1302.53034WikidataQ115248039 ScholiaQ115248039MaRDI QIDQ461037

V. A. Zorich

Publication date: 9 October 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Heisenberg groupquasiconformality coefficientcontact immersion

Mathematics Subject Classification ID

Global submanifolds (53C40) Sub-Riemannian geometry (53C17)

Cites Work

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• Asymptotic geometry and conformal types of Carnot-Carathéodory spaces
• Asymptotic behaviour at infinity of the admissible growth of the quasi-conformality coefficient and the invertibility of contact immersions of the Heisenberg group
• Asymptotics of the admissible growth of the coefficient of quasiconformality at infinity and injectivity of immersions of Riemannian manifolds
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
• Quasiconformal immersions of Riemannian manifolds and a Picard type theorem

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Asymptotics of the admissible growth of the coefficient of quasiconformality at infinity and injectivity of immersions of Riemannian manifolds

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