Browsing 2013 by MSC "53"

Now showing items 1-3 of 3

Legendrian rational unknots in lens spaces

[OWP-2013-06] Geiges, Hansjörg; Onaran, Sinem (Mathematisches Forschungsinstitut Oberwolfach, 2013-03-14)

We classify Legendrian rational unknots with tight complements in the lens spaces $L(p,1)$ up to coarse equivalence. As an example of the general case, this classification is also worked out for $L(5, 2)$ . The knots are ...
Noncompact harmonic manifolds

[OWP-2013-08] Knieper, Gerhard; Peyerimhoff, Norbert (Mathematisches Forschungsinstitut Oberwolfach, 2013-04-10)

The Lichnerowicz conjecture asserts that all harmonic manifolds are either flat or locally symmetric spaces of rank 1. This conjecture has been proved by Z.I. Szab ́o [Sz] for harmonic manifolds with compact universal ...
On the autonomous metric on groups of Hamiltonian diffeomorphisms of closed hyperbolic surfaces

[OWP-2013-18] Brandenbursky, Michael (Mathematisches Forschungsinstitut Oberwolfach, 2013-07-23)

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 ...