Tetsu Toyoda
Email: toyoda(at)cc.kogakuin.ac.jp
Postal Address: Kogakuin University, 2665-1, Nakano-machi, Hachioji-shi, Tokyo, 192-0015 Japan
Research Interests
Riemannian geometry
Geometry of metric spaces
Geometric group theory
Papers and Preprints
The Andoni-Naor-Neiman inequalities and isometric embeddability into a CAT(0) space, preprint, arXiv.
A non-geodesic analogue of Reshetnyak's majorization theorem, Anal. Geom. Metr. Spaces 11 (2023), no. 1, Paper No. 20220151, 22 pp.
An intrinsic characterization of five points in a CAT(0) space, Anal. Geom. Metr. Spaces, 8 (2020), no.1, 114--165. Journal website (open access)
(with Takefumi Kondo and Takato Uehara) On a question of Gromov about the Wirtinger inequalities, Geom. Dedicata, 195(1), 203--214 (2018).
Fixed point property for a CAT(0) space which admits a proper cocompact group action, Kodai Math. J. Vol.39 (2016), 129--153.
(with Takefumi Kondo) Uniform estimates of nonlinear spectral gaps, Graphs and Combinatorics, Vol.31 (2015), Issue 5, 1517--1530.
(with Koji Fujiwara) Random groups have fixed points on CAT(0) cube complexes, Proc. Amer. Math. Soc. Vol.140 (2012), 1023--1031.
CAT(0) spaces on which a certain type of singularity is bounded, Kodai Math. J. Vol.33 (2010), 398--415.
Continuity of a certain invariant of a measure on a CAT(0) space, Nihonkai Math. J. Vol.20 (2009), 85--97.