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pro vyhledávání: '"Papadopoulos, Athanase"'
In his paper Minimal stretch maps between hyperbolic surfaces, William Thurston defined a norm on the tangent space to Teichm{\"u}ller space of a hyperbolic surface, which he called the earthquake norm. This norm is obtained by assigning a length to
Externí odkaz:
http://arxiv.org/abs/2409.10082
Autor:
Papadopoulos, Athanase
This is a point of view of the work of Herbert Busemann (1905-1994), seen as a return to the geometry of Ancient Greece. The importance of this work, its recognition and its relation with other works are discussed. The final version of this paper wil
Externí odkaz:
http://arxiv.org/abs/2406.01109
This is the first paper to systematically study the earthquake metric, an asymmetric Finsler metric on Teichm{\"u}ller space introduced by Thurston. We provide proofs for several assertions of Thurston and establish new properties of this metric, amo
Externí odkaz:
http://arxiv.org/abs/2404.19515
Publikováno v:
Surveys in Geometry. II, ed. A. Papadopoulos, Springer Nature Switzerland, 2024, ISBN-10: 3031435095; ISBN-13: 978-3031435096
We present a variety of geometrical and combinatorial tools that are used in the study of geometric structures on surfaces: volume, contact, symplectic, complex and almost complex structures. We start with a series of local rigidity results for such
Externí odkaz:
http://arxiv.org/abs/2402.17283
Autor:
Papadopoulos, Athanase
These are a few historical remarks, addenda and references with comments on some topics discussed by Thurston in his notes ''The geometry and topology of three-manifolds''. The topics are mainly hyperbolic geometry, geometric structures, volumes of h
Externí odkaz:
http://arxiv.org/abs/2402.08302
Autor:
Papadopoulos, Athanase
This is an intrusion in the life and the mathematics of Norbert A'Campo, intended to be a tribute to him and an acknowledgement of his impact on those who know him and his work. The final version of this paper appears in the book ``Essays in Geometry
Externí odkaz:
http://arxiv.org/abs/2310.01150
Autor:
Papadopoulos, Athanase
This is an overview of the life and works of Pavel Florensky, an important and singular figure of the period rightly described as the \emph{Silver Age of Russian mathematics}, with a substantial overlap with the \emph{Silver Age of Russian literature
Externí odkaz:
http://arxiv.org/abs/2310.12159
We continue the study of the analogue of Thurston's metric on the Teichm{\"u}ller space of Euclidean triangle which was started by Saglam and Papadopoulos in [1].By direct calculation, we give explicit expressions of the distance function and the Fin
Externí odkaz:
http://arxiv.org/abs/2308.13237
Autor:
Papadopoulos, Athanase, Yamada, Sumio
We prove the following result on the timelike spherical Hilbert geometry of simplices: Let $\Delta_2$ be a simplex on the 2-sphere and $\tilde{\Delta}_2$ the antipodal simplex. We show that the timelike spherical Hilbert geometry associated with the
Externí odkaz:
http://arxiv.org/abs/2303.04567