Publications

論文

  1. Geometry of Light Wave Front,
    to appear in Kobayashi Festschrift Volume, Progress in Math. Springer (2024).
  2. Moment maps and isoparametric hypersurfaces of OT-FKM type,
    Science China Mathematics 64 (2021) 1621-1628.click here
  3. Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres (with Y. Ohnita),
    Complex Manifolds, 6 (1) (2019) 265-278. click here
  4. Moment map of the spin action and Cartan Munzner polynomials,
    ASPM, 82 (2019) 1-11. click here
  5. Hamiltonian non-displaceability of Gauss images of isoparametric hypersurfaces,
    Bull. London Math. Soc. 48 (5): 802-812 (2016) click here
  6. Errata of “Isoparametric hypersurfaces with (g, m) = (6, 2)”,
    Annals of Math. 183 (2016) 1057-1071 click here
  7. Remarks on the Dorfmeister-Neher theorem on isoparametric hypersurfaces,
    Osaka J. Math. 52 (2015) 373-377 click here
  8. Moment map description of the Cartan-Munzner polynomials of degree four,
    Progress in Mathematics, 308 (2015) 437-447.click here
  9. Stability of complete minimal Lagrangian submanifold and L2 harmonic 1-forms (with S.Ueki),
    Real and Complex Submanifolds, PROMS 106 (2014) 89-95, Springer click here
  10. Isoparametric hypersurfaces with (g,m)=(6,2),
    Annals of Math. vol.177(2013), 53-110. click here
  11. Moment maps of the spin action and the Cartan-Munzner polynomials of degree four,
    Math. Ann. vol.355(2013), 1067-1084. click here
  12. Transnormal functions on a Riemannian manifold, DGA vol.31(2013), 130-139. click here
  13. Geometry of G2 orbits and isoparametric hypersurfaces;
    Nagoya Math. J. 203 (2011), 175-189. click here
  14. Dorfmeister-Neher's theorem on isoparametric hypersurfaces,
    Osaka J. Math. 46, (2009) 695--715. click here
  15. The Gauss map of pseudo-algebraic minimal surfaces (with Y. Kawakami and R. Kobayashi),
    Forum Mathematicum. 20, (2008) 1055-1069. click here
  16. Isoparametric geometry and related fields,
    Adv. Studies in Pure Math. 51, (2008) 305-326.
  17. The Bryant-Salamon G2 manifolds and hypersurface geometry, click here (2006).
  18. 4つの主曲率をもつ等径超曲面の T. E. Cecil, Q. S. Chi, G. R. Jensen による分類,
    数学 58 No.3 (2006) 1-14. click here
  19. Isoparametric hypersurfaces, revisited,
    Sugaku expositions 17 (2004) 185-202. (等径超曲面再訪, 数学 53 (2001) 18-33) click here
  20. Submanifolds with degenerate Gauss mappings in the spheres (with G. Ishikawa, M. Kimura),
    Adv. Studies in Pure Math. 37 (2002) 115-149. click here
  21. A new proof of the homogeneity of isoparametric hypersurfaces with (g, m) = (6,1),
    GEOMETRY AND TOPOLOGY OF SUBMANIFOLDS X (2000) 178-199.
  22. A global correspondence between CMC-surfaces in S3 and pairs of non-conformal harmonic maps into S2 (with R. Aiyama, K. Akutagawa and M. Umehara),
    Proc. Amer. Math. Soc. 128 (2000) 939-941. pdf
  23. The splitting and deformations of the generalized Gauss map of compact CMC surfaces,
    Tohoku Math. J. 51 (1999) 35-53. pdf
  24. Hypersurface geometry and Hamiltonian systems of hydrodynamic type,
    Lobachevskii J. Math. 3 (1999) 209-220.pdf
  25. The family of isometric superconformal harmonic maps and the affine Toda equations,
    J. Reine Angew. Math. 481 (1996) 1-25. click here
  26. On a complete minimal surface whose Gauss map misses two points (with Katsunori Sato),
    Archiv der Mathematik, 63, (1994) 565-576.click here
  27. 書評 ``Lie Sphere Geometry'' (T. E. Cecil 著), 数学 46 (1994) 87-90.
  28. L2-harmonic 1-forms on a complete stable minimal hypersurface,
    Geometry and Global Analysis (ed. by T. Kotake, S. Nishikawa, R. Schoen), (1993) 289-294.
  29. The linear isotropy group of G2/SO(4), the Hopf fibering and isoparametric hypersurfaces,
    Osaka J. of Math. 30 (1993) 179-202. click here
  30. A note on Lie contact manifolds,
    Adv. Studies in Pure Math. 22 (1993) 169-187. click here
  31. A note on Ogiue-Takagi conjecture on euclidean 2-spheres (with Nobuko Takeuchi),
    Mem. Fac. Sci. Kyushu Univ. 46 (1992) 129-135.
  32. Lie contact structures and conformal structures,
    Kodai Math. J. 14 (1991) 42-71 pdf
  33. Lie contact structures and normal Cartan connections,
    Kodai Math. J. 14 (1991).pdf
  34. Construction of taut embeddings and Cecil-Ryan conjecture (with Tetsuya Ozawa),
    Geometry of Manifolds (ed. by K. Shiohama), Acad. Press, (1989) 181-189.
  35. Dupin hypersurfaces with six principal curvatures,
    Kodai Math. J. 12 (1989) 308-315. pdf
  36. Dupin hypersurfaces and a Lie invariant,
    Kodai Math. J. 12 (1989) 228-256.pdf
  37. Correction of complete hypersurfaces in the space form with three principal curvatures,
    Bol. Soc. Brazil. Mat. 18 (1987) 83--94.
  38. Taut embeddings and Dupin hypersurfaces,
    Differential Geometry in Submanifolds, Lect. Notes in Math. 1090 (1984) 15-23.
  39. Compact Dupin hypersurfaces with three principal curvatures,
    Math. Zeit. 187 (1984) 433-452. click here
  40. Complete hypersurfaces in the space form with three principal curvatures,
    Math. Zeit. 179 (1982) 345-354. click here
  41. Minimal hypersurfaces in the space form with three principal curvatures,
    Math. Zeit. 170 (1980) 137-151.click here
  42. Some results on minimal surfaces with the Ricci condition,
    Minimal Submanifolds and Geodesics (ed. by M. Obata), Kaigai Pub. Ltd. (1978) 121-142.
  43. Certain hypersurfaces in the euclidean sphere,
    Kodai Math. Sem. Rep. 28 (1976) 9-18. click here

Proceedingsと報告集

  1. ある過剰決定系の解の性質,
    2018年度福岡大学微分幾何研究集会報告集, (2018) 1-12.
  2. Hamiltonian Non-displaceability of the Gauss Images of Isoparametric Hypersurfaces (A survey), Hermitian-Grassmannian Submanifolds (Daegu, Korea, Jul. 2016), 83--99, Springer. click here
  3. 等径超曲面のガウス像の Hamilton non-displaceability について,
    部分多様体論・湯沢2015, (2015) Feb.
  4. 非コンパクト完備極小ラグランジュ部分多様体の体積安定性について,
    Geometry and Analysis, (2014) 109-120.
  5. Moment map expression of isoprametric hypersurfaces,
    Oberwolfach Reports, 21 (2013) 1291-1293.
  6. Riemannian singular foliations and Transnormal functions,
    Geometry and Something, 20 (2013) 157-164.
  7. Transnormal functions and transnormal systems,
    Proceedings of the 17th International Workshop on Differential Geometry, 17 (2013) 13-20, Oct 31.
  8. Isoparametric ypersurfaceds and moment map,
    Proceedings of The Sixteenth International Workshop on Diff.Geom.16(2012)11-23. pdf
  9. トランスノーマル超曲面，TN系とTN関数,
    Geometry and Something, 18 (2011) 134-140.
  10. スピン作用のモーメント写像と次数４のCartan-Munzner多項式,
    Geometry and Something, 17 (2010) 77-96.
  11. Homogeneity of isoparameric hypersurfaces with six principal curvatures; Oberwolfach Report NO.21/2010 (2010) 55-58.
  12. Classification of isoparametric hypersurfaces,
    Geometry and Something (2008) 15 16-45.
  13. The topology of the Bryant-Salamon G2 manifolds and some Ricci-flat manifolds,
    数理解析研究所講究録 1502 (2006) 230-237. pdf
  14. 擬代数的極小曲面のガウス写像,
    数理解析研究所講究録 1460 (2005) 72-88.pdf
  15. The Gauss map and the Nevanlinna theory,
    Proceedings of tenth international workshop on Differential Geometry, Kyungpook Univ. (2005) 35-38.
  16. G2 geometry from a view point of the hypersurface geometry,
    Proceedings of tenth international workshop on Differential Geometry (2005) 31-34.
  17. On special Lagrangian submanifolds,
    数理解析研究所講究録 1236 (2001) 1-8.pdf
  18. 等径超曲面今昔 -Élie Cartan と21世紀-,
    数理解析研究所講究録 1206 (2001) 32-44. pdf
  19. Élie Cartan の業績 -S.S. Chern とC. Chevaley による解説-,
    数理解析研究所講究録 1206 (2001) 1-31. pdf
  20. Submanifolds with degenerate Gauss mappings in the spheres (with G. Ishikawa, M. Kimura),
    Josai Mathematical Monograph, Differential Geometry 3 (2001) 125-138. pdf
  21. Lie sphere geometry and Lie contact structure,
    数理解析研究所講究録 1150 (2000) 143-146.pdf
  22. 代数的極小曲面の変型とモデュライ,
    数理解析研究所講究録 1113 (1999) 1-8.pdf
  23. Construction of CMC surfaces in S3 from a pair of non-conformal harmonic maps into S2,
    Proceedings of DGA98(1998), Brno, Czecho (1999) 203-206.
  24. The splitting and deformations of the Gauss map of compact CMC surfaces,
    Proceedings of Brest Workshop 1997: Harmonic Morphism, Harmonic Maps and Related Topics (1999) 271-274.
  25. Normalized Potentials of Minimal Surfaces in Spheres (Q.S. Chi, L. Fernandez, H. Wu) の紹介,
    甲府報告集 Integrable Systems and Related Topics 6 (1999) 27-31.
  26. On the theory of integrable systems and its applications,
    Proceedings of The Third International Workshop on Differential Geometry (1998), Kyungpook Univ., Korea, (1999) 41--55.
  27. Recent topics on harmonic map theory and related parts,
    Proceedings of The Third International Workshop on Differential Geometry (1998), Kyungpook Univ., Korea, (1999) 31-39.
  28. ポアッソン作用と可積分系の散乱理論,
    甲府報告集 Harmonic maps, Spectral curves and Soliton Equations 3 (1997) 1-82.
  29. On the Dressing Action of Loop Groups on Constant Mean Curvature Surfaces (H. Wu) の紹介,
    甲府報告集 Harmonic maps, Submanifold Geometry and Integrable Systems 2 (1996) 70-88.

出版物

  1. 極小曲面　共立出版, Apr, (2022) ISBN: 9784320114692
  2. 人文学の要諦　東北大学教養教育院 (分筆 第１部第２章 現代社会の変貌) 東北大学出版会, Mar, (2020) ISBN: 9784861633447
  3. 曲線と曲面の現代幾何学 : 入門から発展へ　岩波書店, Sep, (2019) ISBN: 9784000052504
  4. 曲がった空間の幾何学　ブルーバックス（講談社） (2017） 「正誤表」
  5. 現代幾何学への招待　SGCライブラリ124（サイエンス社） (2016） 「正誤表」
  6. Geometry and Topology of Manifolds (Eds. A.Futaki, R. Miyaoka, Z. Tang, W. Zhang)
    Springer, Mar, (2016) 　ISBN-13:978-4431567554
  7. Su Buqing Memorial Lectures No.1 (Editor) Tohoku mathematical publications, Dec, (2011)
  8. Riemann Surfaces Harmonic Maps and Visualization (Eds．M. Guest, R. Miyaoka, Y. Ohnita, W. Rossman)
    OCAMI Studies 13 (2010), 277 pages. ISBN-13 : 978-4901409698
  9. Survey on Geometry and Integrable Systems (Eds．M. Guest, R. Miyaoka, Y. Ohnita)
    Adv. Studies in Pure Math.51 (2008) 510 pages. ISBN-13 : 978-4931469464
  10. 21世紀の数学 -幾何学の未踏峰-(編：宮岡礼子、小谷元子）
    日本評論社(2004) 438 pages. ISBN 9784535784031
  11. Theory of Lie Groups and Manifolds (編：宮岡礼子、田丸博士）
    上智大学数学講究録（No.45)（2003） 136 pages.
  12. DIFFERENTIAL GEOMETRY AND INTEGRABLE SYSTEMS　(Eds． M. Guest, R. Miyaoka, Y. Ohnita)
    CONTEMPORARY MATHEMATICS vol. 308 (2002) 349 pages. ISBN-13: 978-0821829387
  13. INTEGRABLE SYSTEMS, TOPOLOGY, AND PHYSICS (Eds． M. Guest, R. Miyaoka, Y. Ohnita)
    CONTEMPORARY MATHEMATICS vol. 309 (2002) 324 pages. ISBN-13: 978-0821829394

一般向け

  1. E.Calabiに思いを寄せて, 科学, 93-2 (2023) 103-105.
  2. 研究室の窓「原点は極小曲面」, 数理科学, 60-10 (2022) 70-76.
  3. ユークリッド幾何学から非ユークリッド幾何学へ, 数理科学, 59-4 (2021) 7-15.
  4. 発展する微分幾何, 数理科学, 55-6 (2017) 5-6．
  5. 曲面論と可積分系, 数理科学, 53-6 (2015) 7-13.
  6. 複素数で表す極小曲面, 数理科学, 52 -10 (2014) 14-20.
  7. 未来を切り開く：数学セミナー 51-6 (2012.6) 1.
  8. 極小曲面と変分問題, 数理科学, 48-10 (2010) 30-36.
  9. Progress in Surface Theory (オーバーボルファッハ研究集会), 数理科学, 48-10 (2010) 59-61.
  10. 調和写像と対称空間, “ソフィア” 199号（上智大学)（2001）123-131.
  11. これからがまなびはじめ, 「数学のたのしみ」25 (2001) 9-15, 日本評論社, 単行本：数学まなびはじめ第２集, 140-154.
  12. 超曲面の幾何とは？「数学のたのしみ」13 (1999) 96-108, 日本評論社, 単行本：現代数学の展望 (2001) 178--193.
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