The ($n+1$)-Lipschitz homotopy group of the Heisenberg group $\mathbb {H}^n$
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Abstract:
We prove that for $n\geq 2$, the Lipschitz homotopy group $\pi _{n+1}^\textrm {{Lip}}(\mathbb {H}^n)$ $\neq 0$ of the Heisenberg group $\mathbb {H}^n$ is nontrivial.References
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Additional Information
- Piotr Hajłasz
- Affiliation: Department of Mathematics, University of Pittsburgh, 301 Thackeray Hall, Pittsburgh, Pennsylvania 15260
- MR Author ID: 332316
- Email: hajlasz@pitt.edu
- Received by editor(s): March 26, 2017
- Received by editor(s) in revised form: May 2, 2017
- Published electronically: October 6, 2017
- Additional Notes: The author was supported by NSF grant DMS-1500647
- Communicated by: Jeremy Tyson
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 1305-1308
- MSC (2010): Primary 53C17; Secondary 55Q40
- DOI: https://doi.org/10.1090/proc/13811
- MathSciNet review: 3750241