Japanese Page

Takumi YOKOTA

Tohoku University » Mathematical Institute ▸ My page
E-mail address: takumiy[at]tohoku.ac.jp

Research interest

Mathematics » Differential Geometry » Riemannian Geometry » Geometry of Metric (Measure) Spaces » …
Keywords: Ricci flow, Alexandrov space, Wasserstein geometry, etc …

Preprint(s)

Papers (Also in MathSciNet, zbMATH, Google Scholar, ResearchGate, Academia.edu, Scinapse)

  1. (joint with D. Kazukawa) Boundedness of precompact sets of metric measure spaces
    — Geom. Dedicata 215 (2021), 229--242
  2. (joint with R. Ozawa) Stability of RCD condition under concentration topology PDF
    — Calc. Var. Partial Differential Equations 58, No.4 (2019), 58:151
  3. Law of large numbers in CAT(1)-spaces of small radii PDF
    — Calc. Var. Partial Differential Equations 57, No.2 (2018), 57:35
  4. Convex functions and $p$-barycenter on CAT(1)-spaces of small radii PDF
    — Tsukuba J. Math. 41, No.1 (2017), 43--80
  5. Complete ancient solutions to the Ricci flow with pinched curvature PDF
    — Comm. Anal. Geom. 25, No.2 (2017), 485--506.
  6. Convex functions and barycenter on CAT(1)-spaces of small radii PDF
    — J. Math. Soc. Japan 68, No.3 (2016), 1297--1323.
  7. On the spread of positively curved Alexandrov spaces PDF
    — Math. Z. 277, Issue 1-2 (2014), 293--304.
  8. On the filling radius of positively curved Alexandrov spaces PDF
    — Math. Z. 273, Issue 1-2 (2013), 161--171.
  9. (joint with A. Takatsu) Cone structure of $L^2$-Wasserstein spaces PDF
    — J. Topol. Anal. 4, No.2 (2012), 237--253.
  10. A rigidity theorem in Alexandrov spaces with lower curvature bound PDF
    — Math. Annalen 353, No.2 (2012), 305--331.
  11. On the asymptotic reduced volume of the Ricci flow PDF
    — Ann. Global Anal. Geom. 37, No.3 (2010), 263--274.
  12. Perelman's reduced volume and a gap theorem for the Ricci flow PDF
    — Comm. Anal. Geom. 17, No.2 (2009), 227--263.
    Addendum PDF
    — Comm. Anal. Geom. 20, No.5 (2012), 949--955.
  13. Curvature integrals under the Ricci flow on surfaces
    — Geom. Dedicata 133 (2008), 169--179.

Conference

Dissertation

  • Comparison geometry of ancient solutions to the Ricci flow Link
    — at Univ. of Tsukuba

Links


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