@techreport{beeec5ab536d472198ff7634eb389bc8,

title = "On the autonomous metric on groups of Hamiltonian diffeomorphisms of closed hyperbolic surfaces",

abstract = " Let $\Sigma_g$ be a closed hyperbolic surface of genus $g$ and let $Ham(\Sigma_g)$ be the group of Hamiltonian diffeomorphisms of $\Sigma_g$. The most natural word metric on this group is the autonomous metric. It has many interesting properties, most important of which is the bi-invariance of this metric. In this work we show that $Ham(\Sigma_g)$ is unbounded with respect to this metric. ",

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

author = "Michael Brandenbursky",

note = "Now it is a part of arXiv:1405.7931",

year = "2013",

language = "אנגלית",

series = "Arxiv preprint",

type = "WorkingPaper",

}