Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Takashi SHIOYA"'
Autor:
Takashi Shioya
Publikováno v:
Sugaku Expositions. 35:221-241
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6fc133d6654d26576d0f1c02e98a1fe
https://doi.org/10.1090/suga/475
https://doi.org/10.1090/suga/475
This is a self-contained account of how some modern ideas in differential geometry can be used to tackle and extend classical results in integral geometry. The authors investigate the influence of total curvature on the metric structure of complete,
Autor:
Hiroki Nakajima, Takashi Shioya
Publikováno v:
Advances in Mathematics. 349:1198-1233
We prove that if a geodesic metric measure space satisfies a comparison condition for isoperimetric profile and if the observable variance is maximal, then the space is foliated by minimal geodesics, where the observable variance is defined to be the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::85893538e7a17b11baa814c096480afa
https://doi.org/10.1016/j.aim.2019.04.043
https://doi.org/10.1016/j.aim.2019.04.043
Autor:
Koji Fujiwara, Takashi Shioya
Publikováno v:
Geom. Topol. 24, no. 4 (2020), 2035-2074
Let $M$ be a graph manifold such that each piece of its JSJ decomposition has the $\Bbb H^2 \times \Bbb R$ geometry. Assume that the pieces are glued by isometries. Then, there exists a complete Riemannian metric on $\Bbb R \times M$ which is an "eve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6de8d382491a210dd543f547a7e34d5
http://arxiv.org/abs/1903.07216
http://arxiv.org/abs/1903.07216
Autor:
Takashi Shioya
Publikováno v:
Measure Theory in Non-Smooth Spaces ISBN: 9783110550832
We study the limits of sequences of spheres and complex projective spaces with unbounded dimensions. A sequence of spheres (resp. complex projective spaces) either is a Levy family, infinitely dissipates, or converges to (resp. the Hopf quotient of)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::94c83c6918a7db1cddda5c957e0aafd7
https://doi.org/10.1515/9783110550832-009
https://doi.org/10.1515/9783110550832-009
Autor:
Ryunosuke Ozawa, Takashi Shioya
Publikováno v:
Manuscripta Mathematica. 147:501-509
We estimate the observable diameter of the $l_p$-product space $X^n$ of an mm-space $X$ by using the limit formula in our previous paper. The idea of our proof is based on Gromov's book. As a corollary we obtain the phase transition property of $\{X^
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d6f761aca9910adc09dc439cebe4172
https://doi.org/10.1007/s00229-015-0730-1
https://doi.org/10.1007/s00229-015-0730-1
Autor:
Takashi Shioya, Kei Funano
Publikováno v:
Geometric and Functional Analysis. 23:888-936
In this paper we study the concentration behavior of metric measure spaces. We prove the stability of the curvature-dimension condition with respect to the concentration topology due to Gromov. As an application, under the nonnegativity of Bakry–Em
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::31d0dd8b5c8ed15ae3f15e51d998d2b0
https://doi.org/10.1007/s00039-013-0215-x
https://doi.org/10.1007/s00039-013-0215-x
Autor:
Takashi Shioya
Publikováno v:
IRMA Lectures in Mathematics and Theoretical Physics ISBN: 9783037191583
In this book, we study Gromov's metric geometric theory on the space of metric measure spaces, based on the idea of concentration of measure phenomenon due to Levy and Milman. Although most of the details are omitted in the original article of Gromov
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::788da609ec58888730bfdcbbcea6e68b
https://doi.org/10.4171/158
https://doi.org/10.4171/158
Autor:
Takashi, Shioya
Publikováno v:
東北數學雜誌. Second series = Tohoku mathematical journal. Second series. 63(4):471-487
We survey works on collapsing Riemannian manifolds with a lower bound of sectional curvature, focusing on the three-dimensional case. We also explain the basics of Seifert manifolds and Alexandrov spaces quickly and a key idea of our proof of the vol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::69f45574e262db7971c6e77d57e8e6a1
http://hdl.handle.net/10097/00106144
http://hdl.handle.net/10097/00106144
Autor:
Kazuhiro, Kuwae, Takashi, Shioya
Publikováno v:
東北數學雜誌. Second series = Tohoku mathematical journal. Second series. 63(1):59-76
Under an infinitesimal version of the Bishop-Gromov relative volume comparison condition for a measure on an Alexandrov space, we prove a topological splitting theorem of Cheeger-Gromoll type. As a corollary, we prove an isometric splitting theorem f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::af29ec49780613395c53deb10239b40c
http://hdl.handle.net/10097/00106125
http://hdl.handle.net/10097/00106125