顔写真

PHOTO

Oota Shinichi
太田　慎一
Oota Shinichi
太田　慎一
Graduate School of Science　Department of Mathematics, Professor

Research History 5

  1. 2022/04 - Present
    RIKEN Center for Advanced Intelligence Project　Mathematical Science Team　Visiting Researcher

  2. 2017/04 - Present
    Osaka University　Department of Mathematics, Graduate School of Science　Professor

  3. 2017/10 - 2022/03
    RIKEN Center for Advanced Intelligence Project　Mathematical Analysis Team　Team Leader

  4. 2009/10 - 2017/03
    Kyoto University　Department of Mathematics, Graduate School of Science　Associate Professor

  5. 2003/10 - 2009/09
    Kyoto University　Department of Mathematics, Graduate School of Science　Assistant Professor

Education 2

  1. Tohoku University　Graduate School of Science　Doctor Course

    2001/04 - 2003/09

  2. Tohoku University　Graduate School of Science　Master Course

    1999/04 - 2001/03

Professional Memberships 1

  1. The Mathematical Society of Japan

Research Areas 1

  1. Natural sciences / Geometry / Differential Geometry

Awards 5

  1. JSPS Prize

    Shin-ichi Ohta　Japan Society for the Promotion of Science　2014/02

  2. Young Scientists' Prize

    Shin-ichi Ohta　MEXT, Japan　2012/04

  3. Spring Prize

    Shin-ichi Ohta　The Mathematical Society of Japan　2012/03

  4. Geometry Prize

    Shin-ichi Ohta　The Mathematical Society of Japan　2011/09

  5. Takebe Prize

    Shin-ichi Ohta　The Mathematical Society of Japan　2005/09

Papers 48

  1. Integral Varadhan formula for non-linear heat flow

    Shin-ichi Ohta, Kohei Suzuki

    Journal of Functional Analysis　Vol. 289　No. 8　2025/10　Research paper (scientific journal)

    Publisher: Elsevier BV

  2. Barycenters and a law of large numbers in Gromov hyperbolic spaces

    Shin-ichi Ohta

    Revista Matemática Iberoamericana　Vol. 40　No. 3　p. 1185-1206　2024/04　Research paper (scientific journal)

    Publisher: European Mathematical Society - EMS - Publishing House GmbH

  3. Optimal transport and timelike lower Ricci curvature bounds on Finsler spacetimes

    Mathias Braun, Shin-ichi Ohta

    Transactions of the American Mathematical Society　Vol. 377　p. 3529-3576　2024/02　Research paper (scientific journal)

    Publisher: American Mathematical Society (AMS)

  4. Geometry of weighted Lorentz–Finsler manifolds II: A splitting theorem

    Yufeng Lu, Ettore Minguzzi, Shin-ichi Ohta

    International Journal of Mathematics　Vol. 34　No. 01　2023/02　Research paper (scientific journal)

    Publisher: World Scientific Pub Co Pte Ltd

  5. Quantitative estimates for the Bakry–Ledoux isoperimetric inequality II

    Cong Hung Mai, Shin‐ichi Ohta

    Bulletin of the London Mathematical Society　Vol. 55　No. 1　p. 224-233　2023/02　Research paper (scientific journal)

    Publisher: Wiley

  6. Comparison theorems on weighted Finsler manifolds and spacetimes with ϵ-range

    Yufeng Lu, Ettore Minguzzi, Shin-ichi Ohta

    Analysis and Geometry in Metric Spaces　Vol. 10　No. 1　p. 1-30　2022/03/03　Research paper (scientific journal)

    Publisher: Walter de Gruyter GmbH

  7. Quantitative estimates for the Bakry–Ledoux isoperimetric inequality

    Cong Hung Mai, Shin-ichi Ohta

    Commentarii Mathematici Helvetici　Vol. 96　No. 4　p. 693-739　2022/01/18　Research paper (scientific journal)

    Publisher: European Mathematical Society - EMS - Publishing House GmbH

  8. A semigroup approach to Finsler geometry: Bakry–Ledoux’s isoperimetric inequality

    Shin-ichi Ohta

    Communications in Analysis and Geometry　Vol. 30　No. 10　p. 2347-2387　2022　Research paper (scientific journal)

    Publisher: International Press of Boston

  9. Geometry of weighted Lorentz–Finsler manifolds I: Singularity theorems

    Yufeng Lu, Ettore Minguzzi, Shin‐ichi Ohta

    Journal of the London Mathematical Society　Vol. 104　No. 1　p. 362-393　2021/07　Research paper (scientific journal)

    Publisher: Wiley

  10. Self-contracted curves in spaces with weak lower curvature bound

    Nina Lebedeva, Shin-ichi Ohta, Vladimir Zolotov

    International Mathematics Research Notices　Vol. 2021　No. 11　p. 8623-8656　2021/05/24　Research paper (scientific journal)

    Publisher: Oxford University Press (OUP)

  11. Rigidity for the spectral gap on RCD(K,∞)-spaces

    Nicola Gigli, Christian Ketterer, Kazumasa Kuwada, Shin-Ichi Ohta

    American Journal of Mathematics　Vol. 142　No. 5　p. 1559-1594　2020/10　Research paper (scientific journal)

    Publisher: Project Muse

  12. Equality in the logarithmic Sobolev inequality

    Shin-ichi Ohta, Asuka Takatsu

    manuscripta mathematica　Vol. 162　No. 1-2　p. 271-282　2020/05　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  13. Self-contracted curves in CAT(0)-spaces and their rectifiability

    Shin-ichi Ohta

    The Journal of Geometric Analysis　Vol. 30　No. 1　p. 936-967　2020/01　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  14. Needle decompositions and isoperimetric inequalities in Finsler geometry

    Shin-ichi OHTA

    Journal of the Mathematical Society of Japan　Vol. 70　No. 2　p. 651-693　2018/04　Research paper (scientific journal)

    Publisher: Mathematical Society of Japan (Project Euclid)

  15. Some functional inequalities on non-reversible Finsler manifolds

    Shin-Ichi Ohta

    Proceedings - Mathematical Sciences　Vol. 127　No. 5　p. 833-855　2017/11　Research paper (scientific journal)

  16. Gradient flows and a Trotter-Kato formula of semi-convex functions on CAT(1)-spaces

    Shin-Ichi Ohta, Miklós Pálfia

    American Journal of Mathematics　Vol. 139　No. 4　p. 937-965　2017/08　Research paper (scientific journal)

  17. (K,N)-convexity and the curvature-dimension condition for negative N

    Shin-ichi Ohta

    The Journal of Geometric Analysis　Vol. 26　No. 3　p. 2067-2096　2016/07　Research paper (scientific journal)

  18. Discrete-time gradient flows and law of large numbers in Alexandrov spaces

    Shin-ichi Ohta, Miklós Pálfia

    Calculus of Variations and Partial Differential Equations　Vol. 54　No. 2　p. 1591-1610　2015/10　Research paper (scientific journal)

  19. Splitting theorems for Finsler manifolds of nonnegative Ricci curvature

    Shin-ichi Ohta

    Journal für die reine und angewandte Mathematik (Crelles Journal)　Vol. 700　p. 155-174　2015　Research paper (scientific journal)

  20. Examples of spaces with branching geodesics satisfying the curvature-dimension condition

    Shin-ichi Ohta

    Bulletin of the London Mathematical Society　Vol. 46　No. 1　p. 19-25　2014/02　Research paper (scientific journal)

    Publisher: Wiley

  21. Bochner–Weitzenböck formula and Li–Yau estimates on Finsler manifolds

    Shin-ichi Ohta, Karl-Theodor Sturm

    Advances in Mathematics　Vol. 252　p. 429-448　2014/02　Research paper (scientific journal)

  22. Topology of complete Finsler manifolds with radial flag curvature bounded below

    Kei KONDO, Shin-ichi OHTA, Minoru TANAKA

    Kyushu Journal of Mathematics　Vol. 68　No. 2　p. 347-357　2014　Research paper (scientific journal)

  23. On the curvature and heat flow on Hamiltonian systems

    Shin-ichi Ohta

    Analysis and Geometry in Metric Spaces　Vol. 2　No. 1　p. 81-114　2014　Research paper (scientific journal)

    Publisher: Walter de Gruyter GmbH

  24. Caffarelli–Kohn–Nirenberg inequality on metric measure spaces with applications

    Alexandru Kristály, Shin-ichi Ohta

    Mathematische Annalen　Vol. 357　No. 2　p. 711-726　2013/10　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  25. Weighted Ricci curvature estimates for Hilbert and Funk geometries

    Shin-ichi Ohta

    Pacific Journal of Mathematics　Vol. 265　No. 1　p. 185-197　2013/08　Research paper (scientific journal)

    Publisher: Mathematical Sciences Publishers

  26. Heat flow on Alexandrov spaces

    Nicola Gigli, Kazumasa Kuwada, Shin-ichi Ohta

    Communications on Pure and Applied Mathematics　Vol. 66　No. 3　p. 307-331　2013/03　Research paper (scientific journal)

    Publisher: Wiley

  27. Displacement convexity of generalized relative entropies. II

    Shin-Ichi Ohta, Asuka Takatsu

    Communications in Analysis and Geometry　Vol. 21　No. 4　p. 687-785　2013　Research paper (scientific journal)

  28. First variation formula in Wasserstein spaces over compact Alexandrov spaces

    Nicola Gigli, Shin-Ichi Ohta

    Canadian Mathematical Bulletin　Vol. 55　No. 4　p. 723-735　2012/12　Research paper (scientific journal)

  29. Non-contraction of heat flow on Minkowski spaces

    Shin-ichi Ohta, Karl-Theodor Sturm

    Archive for Rational Mechanics and Analysis　Vol. 204　No. 3　p. 917-944　2012/06　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  30. Barycenters in Alexandrov spaces of curvature bounded below

    Shin-ichi Ohta

    Advances in Geometry　Vol. 12　No. 4　p. 571-587　2012　Research paper (scientific journal)

  31. Displacement convexity of generalized relative entropies

    Shin-ichi Ohta, Asuka Takatsu

    Advances in Mathematics　Vol. 228　No. 3　p. 1742-1787　2011/10　Research paper (scientific journal)

    Publisher: Elsevier BV

  32. Vanishing S-curvature of Randers spaces

    Shin-ichi Ohta

    Differential Geometry and its Applications　Vol. 29　No. 2　p. 174-178　2011/03　Research paper (scientific journal)

    Publisher: Elsevier BV

  33. Markov type of Alexandrov spaces of non‐negative curvature

    Shin-Ichi Ohta

    Mathematika　Vol. 55　No. 1-2　p. 177-189　2009/12　Research paper (scientific journal)

    Publisher: Wiley

  34. Heat flow on Finsler manifolds

    Shin-ichi Ohta, Karl-Theodor Sturm

    Communications on Pure and Applied Mathematics　Vol. 62　No. 10　p. 1386-1433　2009/10　Research paper (scientific journal)

    Publisher: Wiley

  35. Finsler interpolation inequalities

    Shin-ichi Ohta

    Calculus of Variations and Partial Differential Equations　Vol. 36　No. 2　p. 211-249　2009/10　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  36. Extending Lipschitz and Hölder maps between metric spaces

    Shin-ichi Ohta

    Positivity　Vol. 13　No. 2　p. 407-425　2009/05　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  37. Gradient flows on Wasserstein spaces over compact Alexandrov spaces

    Shin-Ichi Ohta

    American Journal of Mathematics　Vol. 131　No. 2　p. 475-516　2009/04　Research paper (scientific journal)

    Publisher: Project Muse

  38. Uniform convexity and smoothness, and their applications in Finsler geometry

    Shin-ichi Ohta

    Mathematische Annalen　Vol. 343　No. 3　p. 669-699　2009/03　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  39. A note on Markov type constants

    Shin-Ichi Ohta, Mikaël Pichot

    Archiv der Mathematik　Vol. 92　No. 1　p. 80-88　2009/01　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  40. Topology of complete manifolds with radial curvature bounded from below

    Kei Kondo, Shin-Ichi Ohta

    Geometric and Functional Analysis　Vol. 17　No. 4　p. 1237-1247　2007/11　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  41. Products, cones, and suspensions of spaces with the measure contraction property

    Shin-Ichi Ohta

    Journal of the London Mathematical Society　Vol. 76　No. 1　p. 225-236　2007/08　Research paper (scientific journal)

    Publisher: Wiley

  42. Convexities of metric spaces

    Shin-ichi Ohta

    Geometriae Dedicata　Vol. 125　No. 1　p. 225-250　2007/07　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  43. On the measure contraction property of metric measure spaces

    Shin-ichi Ohta

    Commentarii Mathematici Helvetici　Vol. 82　No. 4　p. 805-828　2007　Research paper (scientific journal)

    Publisher: European Mathematical Society Publishing House

  44. Reconstructions of distances by energy forms

    Shin-Ichi Ohta

    Proceedings of the American Mathematical Society　Vol. 134　No. 11　p. 3405-3415　2006/11　Research paper (scientific journal)

  45. Regularity of harmonic functions in Cheeger-type Sobolev spaces

    Shin-Ichi Ohta

    Annals of Global Analysis and Geometry　Vol. 26　No. 4　p. 397-410　2004/11　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  46. Harmonicity of totally geodesic maps into nonpositively curved metric spaces

    Shin-ichi Ohta

    manuscripta mathematica　Vol. 114　No. 1　p. 127-138　2004/05　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  47. Cheeger type Sobolev spaces for metric space targets

    Shin-ichi Ohta

    Potential Analysis　Vol. 20　No. 2　p. 149-175　2004/03　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

  48. Totally geodesic maps into metric spaces

    Shin-ichi Ohta

    Mathematische Zeitschrift　Vol. 244　No. 1　p. 47-65　2003/05　Research paper (scientific journal)

    Publisher: Springer Science and Business Media LLC

Misc. 6

  1. Nonlinear geometric analysis on Finsler manifolds

    Shin-ichi Ohta

    European Journal of Mathematics　Vol. 3　No. 4　p. 916-952　2017/12　Article, review, commentary, editorial, etc. (scientific journal)

    Publisher: Springer Science and Business Media LLC

  2. Ricci curvature, entropy, and optimal transport

    Shin-Ichi Ohta

    London Mathematical Society Lecture Note Series　Vol. 413　p. 145-199　2014　Article, review, commentary, editorial, etc. (international conference proceedings)

    Publisher: Cambridge University Press

  3. Curvature-dimension condition and heat flow on metric measure spaces (Progress in Variational Problems : Variational Problems Interacting with Probability Theories)

    Ohta Shin-ichi

    RIMS Kokyuroku　Vol. 1837　p. 44-51　2013/06

    Publisher: Kyoto University

  4. Geometric analysis on Finsler manifolds

    Ohta Shin-ichi

    SUGAKU　Vol. 64　No. 4　p. 337-356　2012/10/25

    Publisher: The Mathematical Society of Japan

  5. On the geometry of the space of probability measures

    Ohta Shin-ichi

    Tokyo Sugaku Kaisya Zasshi　Vol. 63　No. 1　p. 21-42　2011/01/25

    Publisher: The Mathematical Society of Japan

  6. Optimal transport and Ricci curvature in Finsler geometry

    Shin-ichi Ohta

    Advanced Studies in Pure Mathematics　Vol. 57　p. 323-342　2010　Article, review, commentary, editorial, etc. (international conference proceedings)

    Publisher: Mathematical Society of Japan

Publications 2

  1. Comparison Finsler Geometry

    Shin-ichi Ohta

    Springer　2021/11

    ISBN: 9783030806491

  2. 最適輸送理論とリッチ曲率（数学メモアール第8巻）

    桑江 一洋, 塩谷 隆, 太田 慎一, 高津 飛鳥, 桒田 和正

    日本数学会　2017/01