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of 233
pro vyhledávání: '"Miyachi, Hideki"'
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:
Miyachi, Hideki
The $L^1$-$L^\infty$ geometry is the Finsler geometry of the Teichm\"uller space by the Teichm\"uller metric and the $L^1$-norm function of holomorphic quadratic differentials. In this paper, aiming to develop the $L^1$-$L^\infty$-geometry and the di
Externí odkaz:
http://arxiv.org/abs/2406.07776
Autor:
Miyachi, Hideki
In this paper, we discuss the boundary behavior of bounded pluriharmonic functions on the Teichm\"uller space. We will show a version of the Fatou theorem that every bounded pluriharmonic function admits the radial limits along the Teichm\"uller geod
Externí odkaz:
http://arxiv.org/abs/2312.13535
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
In this paper, we introduce a new asymmetric weak metric on the Teichm{\"u}ller space of a closed orientable surface with (possibly empty) punctures.This new metric, which we call the Teichm{\"u}ller-Randers metric, is an asymmetric deformation of th
Externí odkaz:
http://arxiv.org/abs/2211.16132
Autor:
Miyachi, Hideki, Tara, Shuhei, Nakayama, Hidetaka, Hama, Rikako, Sugiura, Tadahisa, Reinhardt, James W., Yi, Tai, Lee, Yong-Ung, Lee, Avione Y., Miyamoto, Shinka, Shoji, Toshihiro, Nakazawa, Yasumoto, Breuer, Christopher K., Shinoka, Toshiharu
Publikováno v:
In Acta Biomaterialia 15 July 2024 183:146-156
Autor:
Hu, Guangming, Miyachi, Hideki
In this paper, a comparison between the Bergman kernel form and the pushforward measure of the Masur-Veech meaure on the Teichmuller space of genus $g\ge 2$ is obtained.
Comment: 11 pages, This is the second version of this paper. We revise typo
Comment: 11 pages, This is the second version of this paper. We revise typo
Externí odkaz:
http://arxiv.org/abs/2008.06818
In this paper, we show that the analogue of Thurston's asymmetric metric on the Teichm{\"u}ller space of flat structures on the torus is weak Finsler and we give a geometric description of its unit sphere at each point in the tangent space to Teichm{
Externí odkaz:
http://arxiv.org/abs/2005.05646
It is known that every finitely unbranched covering $\alpha:\widetilde{S}_{g(\alpha)}\rightarrow S$ of a compact Riemann surface $S$ with genus $g\geq2$ induces an isometric embedding $\Gamma_{\alpha}$ from the Teichm\"uller space $T(S)$ to the Teich
Externí odkaz:
http://arxiv.org/abs/2004.02102
Autor:
Miyachi, Hideki
Publikováno v:
In Advances in Mathematics 1 November 2023 432