Geodesic
Lipschitz 1-connectedness for Some Solvable Lie Groups
Canadian journal of mathematics, Tome 71 (2019) no. 3, pp. 533-555

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DOI

A space X is said to be Lipschitz 1-connected if every Lipschitz loop γ : S1 → X bounds a O (Lip(γ))-Lipschitz disk f : D2 → X. A Lipschitz 1-connected space admits a quadratic isoperimetric inequality, but it is unknown whether the converse is true. Cornulier and Tessera showed that certain solvable Lie groups have quadratic isoperimetric inequalities, and we extend their result to show that these groups are Lipschitz 1-connected.
DOI : 10.4153/CJM-2017-038-8
Mots-clés : Dehn function, solvable group, Lipschitz 1-connectedness 
Cohen, David Bruce. Lipschitz 1-connectedness for Some Solvable Lie Groups. Canadian journal of mathematics, Tome 71 (2019) no. 3, pp. 533-555. doi: 10.4153/CJM-2017-038-8
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     title = {Lipschitz 1-connectedness for {Some} {Solvable} {Lie} {Groups}},
     journal = {Canadian journal of mathematics},
     pages = {533--555},
     year = {2019},
     volume = {71},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2017-038-8/}
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