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A
short proof that the $L^p$–diameter of
$\operatorname{Diff}_0(S,\mathrm{area})$ is infinite
Michał Marcinkowski |
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Algebraic & Geometric Topology 23 (2023) 883–893
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Abstract |
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We give a short proof that the –diameter of the group of area preserving diffeomorphisms isotopic to the identity of a compact surface is infinite. |
Keywords
$L^p$ norm, diffeomorphism, Shnirelman conjecture, measure
preserving diffeomorphism, braid group
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Mathematical Subject Classification
Primary: 37E30, 57K10, 58D05
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References |
Publication
Received: 29 April 2021
Revised: 15 October 2021
Accepted: 20 November 2021
Published: 9 May 2023
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Authors |
| Michał Marcinkowski | |
| Institute of Mathematics University of Wrocław Wrocław Poland |
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| © 2023 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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