Publications

Publication list

  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. Classification of Isoparametric hypersurfaces with four principal curvatures by T. E. Cecil, Q. S. Chi, G. R. Jensen, (in Japanese),
    Sugaku 58 No.3 (2006) 1-14. click here
  19. Isoparametric hypersurfaces, revisited,
    Sugaku expositions 17 (2004) 185-202. (in Japanese, Sugaku 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. Book Review ``Lie Sphere Geometry'' (by T. E. Cecil), Sugaku 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 and surveys：

  1. Properties of the solutions of certain overdetermined systems (in Japanese),
    Reports of Differential Geometry Meeting at Fukuoka U. (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. On Hamilton non-displaceability of the Gauss image of isoparameteric hypersurfaces (in Japanese),
    Submanifold Theory, Yuzawa 2015, (2015) Feb.
  4. On the volume stability of non-compact complete minimal Lagrangian submanifolds (in Japanese),
    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. Transnormal hypersurfaces，TN systems and TN functions (in Japanese),
    Geometry and Something, 18 (2011) 134-140.
  10. Moment map of the Spin action and the Cartan-Munzner polynomials of degree 4 (in Japanese) ,
    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,
    RIMS Kokyuroku 1502 (2006) 230-237. pdf
  14. Gauss map of pseudo-algebraic minimal surfaces (in Japanese),
    RIMS Kokyuroku 1460 (2005) 72-88.pdf
  15. The Gauss map and the Nevanlinna theory,
    Proceedings of 10th international workshop on Differential Geometry, Kyungpook Univ. (2005) 35-38.
  16. G2 geometry from a view point of the hypersurface geometry,
    Proceedings of 10th international workshop on Differential Geometry (2005) 31-34.
  17. On special Lagrangian submanifolds (in Japanese),
    RIMS Kokyuroku 1236 (2001) 1-8.pdf
  18. Isoparametric hypersurfaces, old and new -Élie Cartan and 21st century- (in Japanese),
    RIMS Kokyuroku 1206 (2001) 32-44. pdf
  19. Élie Cartan’s Achievements -Explained by S.S. Chern and C. Chevaley - (in Japanese),
    RIMS Kokyuroku 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,
    RIMS Kokyuroku 1150 (2000) 143-146.pdf
  22. Deformations of algebraic minimal surfaces and moduli (in Japanese),
    RIMS Kokyuroku 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. Introductions to ``Normalized Potentials of Minimal Surfaces in Spheres (Q.S. Chi, L. Fernandez, H. Wu)” (in Japanese),,
    Kofu Report, 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. Poisson Actions and Scattering Theory of Integrable systems (in Japanese),
    Kofu Report, Harmonic maps, Spectral curves and Soliton Equations 3 (1997) 1-82.
  29. Introduction to ``On the Dressing Action of Loop Groups on Constant Mean Curvature Surfaces (H. Wu)” (in Japanese),
    Kofu Report, Harmonic maps, Submanifold Geometry and Integrable Systems 2 (1996) 70-88.

Books：

  1. Minimal Surfaces, Kyoritsu Shuppan Pub. Apr, (2022) ISBN: 9784320114692
  2. Secret of Humanities (co-author: Chap2, Rapid Change of Modern Society)
    Tohoku University Press, Mar, (2020) ISBN: 9784861633447
  3. Modern Geometry of Curves and Surfaces , Iwanami Shoten Pub. Sep, (2019) ISBN: 9784000052504
  4. Geometry of Curved Spaces　Blue Backs（Kodan-sha） (2017） Eratta
  5. Invitation to Modern Geometry,　SGC Library 124 （Science Pub.） (2016）Eratta
  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. Mathematics in the 21st Century -unscaled peaks of geometry-(Eds. Reiko Miyaoka、Motoko Kotani）
    Nippon Hyoronsha (2004) 438 pages. ISBN 9784535784031
  11. Theory of Lie Groups and Manifolds (Eds. Reiko Miyaoka, Hiroshi Tamaru）
    Research record of Sophia University（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: 978-082182939

Surveys in Japanese：

  1. Attracted to E.Calabi, Kagaku, 93-2 (2023) 103-105.
  2. The starting point is a minimal surface, Suri Kagaku,, 60-10 (2022) 70-76.
  3. Euclidean Geometry to non-Euclidean Geometry, Suri Kagaku,, 59-4 (2021) 7-15.
  4. Evolving Differential Geometry, Suri Kagaku,, 55-6 (2017) 5-6．
  5. Surface Theory and Integrable Systems, Suri Kagaku,, 53-6 (2015) 7-13.
  6. Minimal surfaces described in complex numbers, Suri Kagaku, 52 -10 (2014) 14-20.
  7. Open up the future, Sugaku Seminar 51-6 (2012.6) 1.
  8. Minimal surfaces and Variational problems, Suri Kagaku 48-10 (2010) 30-36.
  9. Progress in Surface Theory (Workshop in Oberwolfach), Suri Kagaku 48-10 (2010) 59-61.
  10. Harmonic maps and symmetric spaces, Sophia 199 (Sophia Univ.） (2001) 123-131.
  11. Beginner of Mathematics, Sugaku no Tanoshimi 25 (2001) 9-15,
    Nippon Hyoronsha, Hardcover : Sugaku manabihajime No.2, 140-154.
  12. What is the geometry of hypersurfaces？ Sugaku no Tanoshimi 13 (1999) 96-108,
    Nippon hyoronsha，Hardcover : Perspective of modern mathematics (2001) 178-193.
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