Zobrazeno 1 - 10
of 47
pro vyhledávání: '"PAPADOPERAKIS, IOANNIS"'
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
In this article we use the HW maps to solve arbitrary equations f=0, by providing an effective enumeration of the roots of f, as these project on and at the branches of the HW maps. This is just an enumeration of the projection points (roots) of a pi
Externí odkaz:
http://arxiv.org/abs/1907.07204
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
We prove that for any orientable connected surface of finite type which is not a a sphere with at most four punctures or a torus with at most two punctures, any homeomorphism of the space of geodesic laminations of this surface, equipped with the Thu
Externí odkaz:
http://arxiv.org/abs/1112.1935
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