Effective contraction of Skinning maps
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- by Tommaso Cremaschi and Lorenzo Dello Schiavo HTML | PDF
- Proc. Amer. Math. Soc. Ser. B 9 (2022), 445-459
Abstract:
Using elementary hyperbolic geometry, we give an explicit formula for the contraction constant of the skinning map over moduli spaces of relatively acylindrical hyperbolic manifolds.References
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Additional Information
- Tommaso Cremaschi
- Affiliation: Department of Mathematics, Belval, Maison du Nombre 6, avenue de la Fonte L-4364 Esch-sur-Alzette Luxembourg
- MR Author ID: 1287432
- Email: tommaso.cremaschi@uni.lu
- Lorenzo Dello Schiavo
- Affiliation: Institute of Science and Technology Austria, Am Campus 1, 3400 Klosterneuburg, Austria
- MR Author ID: 1123044
- ORCID: 0000-0002-9881-6870
- Email: lorenzo.delloschiavo@ist.ac.at
- Received by editor(s): November 14, 2021
- Received by editor(s) in revised form: November 28, 2021, and May 10, 2022
- Published electronically: November 2, 2022
- Additional Notes: The first author was partially supported by the National Science Foundation under Grant No. DMS-1928930 while participating in a program hosted by the Mathematical Sciences Research Institute in Berkeley, California, during the Fall 2020 semester. The second author gratefully acknowledges funding by the Austrian Science Fund (FWF) through grants F65 and ESPRIT 208, by the European Research Council (ERC, grant No. 716117, awarded to Prof. Dr. Jan Maas), and by the Deutsche Forschungsgemeinschaft through the SPP 2265.
- © Copyright 2022 by the authors under Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License (CC BY NC ND 4.0)
- Journal: Proc. Amer. Math. Soc. Ser. B 9 (2022), 445-459
- MSC (2020): Primary 57K32
- DOI: https://doi.org/10.1090/bproc/134
- MathSciNet review: 4504235