Japanese
Name (LAST, First) YOKOTA, Takumi
Affiliation Kyoto University » Research Institute for Mathematical Sciences (RIMS) » Link
Mail takumiy[at]kurims.kyoto-u.ac.jp
Research interest

Keywords
Mathematics » Differential geometry » Riemannian geometry »

Ricci flow, Alexandrov space, Wasserstein geometry, etc …
Preprint(s)
  • Complete ancient solutions to the Ricci flow with pinched curvature. PDF
    — Revised in Jun. 2014. Theorem 6 improved.
  • Convex functions and barycenter on CAT(1)-spaces of small radii. PDF
    — Revised in Jun. 2014. Corollary 20 improved; Final section deleted.
Papers
  1. On the spread of positively curved Alexandrov spaces. PDF
    Math. Z. 277, Issue 1-2 (2014), 293--304.
  2. On the filling radius of positively curved Alexandrov spaces. PDF
    Math. Z. 273, Issue 1-2 (2013), 161--171.
  3. (joint with A. Takatsu) Cone structure of $L^2$-Wasserstein spaces. PDF
    J. Topol. Anal. 4, No.2 (2012), 237--253.
  4. A rigidity theorem in Alexandrov spaces with lower curvature bound. PDF
    Math. Annalen 353, No. 2 (2012), 305--331.
  5. On the asymptotic reduced volume of the Ricci flow. PDF
    Ann. Global Anal. Geom. 37, No.3 (2010), 263--274.
  6. 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.
  7. Curvature integrals under the Ricci flow on surfaces.
    Geom. Dedicata 133 (2008), 169--179.
Dissertation
  • Comparison geometry of ancient solutions to the Ricci flow. » Link
    — at Univ. of Tsukuba in September 2009.
Links I have been in

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