@techreport{27a020e201c7452a8ff76490af2df073,

title = "On the large-scale geometry of the L^p-metric on the symplectomorphism group of the two-sphere",

abstract = " We prove that the vector space R^d of any finite dimension d with the standard metric embeds in a bi-Lipschitz way into the group of area-preserving diffeomorphisms G of the two-sphere endowed with the L^p-metric for p>2. Along the way we show that the L^p-metric on the group G is unbounded for p>2 by elementary methods. ",

keywords = "math.GT, math.DG, math.SG",

author = "Michael Brandenbursky and Egor Shelukhin",

note = "17 pages, 1 figure; a revised manuscript correcting a mistake in the original version, the main result holds for p>2",

year = "2013",

language = "אנגלית",

series = "Arxiv preprint",

type = "WorkingPaper",

}