Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Shin-ichi Oguni"'
Autor:
Motoko Kato, Shin-ichi Oguni
Publikováno v:
Groups, Geometry & Dynamics; 2024, Vol. 18 Issue 4, p1291-1316, 26p
Autor:
Motoko Kato, Shin-ichi Oguni
Publikováno v:
Glasgow Mathematical Journal. 64:51-64
It is conjectured that the central quotient of any irreducible Artin–Tits group is either virtually cyclic or acylindrically hyperbolic. We prove this conjecture for Artin–Tits groups that are known to be CAT(0) groups by a result of Brady and Mc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af8783a6df46066d67e4b01b829fa024
https://doi.org/10.1017/s0017089520000555
https://doi.org/10.1017/s0017089520000555
Autor:
Tomohiro Fukaya, Shin-ichi Oguni
Publikováno v:
Journal of Topology and Analysis. 12:857-895
We establish a coarse version of the Cartan-Hadamard theorem, which states that proper coarsely convex spaces are coarsely homotopy equivalent to the open cones of their ideal boundaries. As an application, we show that such spaces satisfy the coarse
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20977fee098ed25efa9cbba77345e1d0
https://doi.org/10.1142/s1793525319500675
https://doi.org/10.1142/s1793525319500675
Autor:
Ryosuke Mineyama, Shin-ichi Oguni
Publikováno v:
Monatshefte für Mathematik. 187:665-680
We begin a coarse geometric study of Hilbert geometry. Actually we give a necessary and sufficient condition for the natural boundary of a Hilbert geometry to be a corona, which is a nice boundary in coarse geometry. In addition, we show that any Hil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eb413fcebed1dc3efebc308f67b18f2a
https://doi.org/10.1007/s00605-018-1171-1
https://doi.org/10.1007/s00605-018-1171-1
Autor:
Tomohiro Fukaya1 tomo@math.tohoku.ac.jp, Shin-ichi Oguni2 oguni@math.sci.ehime-u.ac.jp
Publikováno v:
Kyoto Journal of Mathematics. 2016, Vol. 56 Issue 1, p1-12. 12p.
Autor:
Shin-ichi Oguni1 oguni@math.sci.ehime-u.ac.jp
Publikováno v:
Noncommutative Geometry & Physics 3 - Proceedings of the Noncommutative Geometry & Physics 2008, on K-Theory & D-Branes & Proceedings of the Rims Thematic Year 2010 on Perspectives in Deformation Quantization & Noncommutative Geometry. 2013, p433-469. 37p.
We introduce the notion of controlled products on metric spaces as a generalization of Gromov products, and construct boundaries by using controlled products, which we call the Gromov boundaries. It is shown that the Gromov boundary with respect to a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d26fdb6474062ae38f0d16d106ac9b71
Autor:
Shin-ichi Oguni, Tomohiro Fukaya
Publikováno v:
Advances in Mathematics. 279:201-233
We study the coarse Baum-Connes conjecture for product spaces and product groups. We show that a product of CAT(0) groups, polycyclic groups and relatively hyperbolic groups which satisfy some assumptions on peripheral subgroups, satisfies the coarse
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2da15cee4ae5d399355bbf804fdea91
https://doi.org/10.1016/j.aim.2015.01.022
https://doi.org/10.1016/j.aim.2015.01.022
Autor:
Shin-ichi Oguni, Tomohiro Fukaya
Publikováno v:
Kyoto J. Math. 56, no. 1 (2016), 1-12
We prove that the coarse assembly maps for proper metric spaces which are non-positively curved in the sense of Busemann are isomorphisms, where we do not assume that the spaces are with bounded coarse geometry. Also it is shown that we can calculate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a7a8ea5b752d0ca06b166ce4df6d876
https://doi.org/10.1215/21562261-3445129
https://doi.org/10.1215/21562261-3445129
Publikováno v:
Tokyo J. of Math. 38, no. 1 (2015), 99-123
We define relatively quasiconvex subgroups of relatively hyperbolic groups in the sense of Osin and show that such subgroups have expected properties. Also we state several definitions equivalent to the definition of relatively hyperbolic groups in t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53e57e6df51ab5fed125861d910f8878
http://projecteuclid.org/euclid.tjm/1428412566
http://projecteuclid.org/euclid.tjm/1428412566