Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Tsapogas, Georgios"'
For a family $\mathcal{C}$ of properly embedded curves in the 2-dimensional disk $\mathbb{D}^{2}$ satisfying certain uniqueness properties, we consider convex polygons $P\subset \mathbb{D}^{2}$ and define a metric $d$ on $P$ such that $(P,d)$ is a ge
Externí odkaz:
http://arxiv.org/abs/2311.05968
A new metric on the open 2-dimensional unit disk is defined making it a geodesically complete metric space whose geodesic lines are precisely the Euclidean straight lines. Moreover, it is shown that the unit disk with this new metric is not isometric
Externí odkaz:
http://arxiv.org/abs/2310.09280
If $\Omega$ is the interior of a convex polygon in $\mathbb{R}^{2}$ and $f,g$ two asymptotic geodesics, we show that the distance function $d\left(f\left(t\right),g\left(t\right)\right)$ is convex for $t$ sufficiently large. The same result is obtain
Externí odkaz:
http://arxiv.org/abs/2003.09742
For a handlebody of genus $g\geq6$ it is shown that every automorphism of the complex of separating meridians can be extended to an automorphism on the complex of all meridians and, in consequence, it is geometric.
Comment: 22 pages, 3 figures
Comment: 22 pages, 3 figures
Externí odkaz:
http://arxiv.org/abs/1707.04392
Publikováno v:
Ergod. Th. Dynam. Sys. 40 (2020) 3310-3338
Under certain assumptions on CAT(0) spaces, we show that the geodesic flow is topologically mixing. In particular, the Bowen-Margulis' measure finiteness assumption used in recent work of Ricks is removed. We also construct examples of CAT(0) spaces
Externí odkaz:
http://arxiv.org/abs/1509.05741
The geometry of closed surfaces equipped with a Euclidean metric with finitely many conical points of arbitrary angle is studied. The main result is that the set of closed geodesics is dense in the space of geodesics.
Comment: 16 pages, 1 figure
Comment: 16 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/1412.3404
The geometry of closed surfaces equipped with a Euclidean metric with finitely many conical points of arbitrary angle is studied. The main result is that the image of a non-closed geodesic has 0 distance from the set of conical points. Dynamical prop
Externí odkaz:
http://arxiv.org/abs/1306.1759
For a genus g handlebody H a simplicial complex, with vertices being isotopy classes of certain incompressible surfaces in H, is constructed and several properties are established. In particular, this complex naturally contains, as a subcomplex, the
Externí odkaz:
http://arxiv.org/abs/1104.0660
A complex of incompressible surfaces in a handlebody is constructed so that it contains, as a subcomplex, the complex of curves of the boundary of the handlebody. For genus 2 handlebodies, the group of automorphisms of this complex is used to charact
Externí odkaz:
http://arxiv.org/abs/1002.3134
Publikováno v:
The Rocky Mountain Journal of Mathematics, 2018 Jan 01. 48(5), 1455-1474.
Externí odkaz:
https://www.jstor.org/stable/26538675