Zobrazeno 1 - 10
of 52
pro vyhledávání: '"CHARITOS, CHARALAMPOS"'
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
Joseph-Nicolas Delisle was one of the most important scientists at the Saint Petersburg Academy of Sciences during the first period when Euler was working there. Euler was helping him in his work on astronomy and in geography. In this paper, Delisle'
Externí odkaz:
http://arxiv.org/abs/2211.00993
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
Autor:
Charitos, Charalampos
The existence of essential closed surfaces surfaces is proven for finite coverings of 3-manifolds that are triangulated by finitely many topological ideal tetrahedra and admit a regular, negatively curved, ideal structure.
Comment: 21 pages 5 fi
Comment: 21 pages 5 fi
Externí odkaz:
http://arxiv.org/abs/1812.03537
Autor:
Charitos, Charalampos
Morse foliations of codimension one on the sphere S^3 are studied and the existence of special components for these foliations is derived. As a corollary the instability of Morse foliations can be proven in almost all cases.
Comment: 31 pages, 1
Comment: 31 pages, 1
Externí odkaz:
http://arxiv.org/abs/1710.09801
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