対蹠集合に関する論文

2010年〜2022年

  1. The intersection of two real forms in the complex hyperquadric, Tohoku Math. J. 62 no.3 (2010), 375--382
    2. doi:10.2748/tmj/1287148617
  2. (with M. S. Tanaka) The intersection of two real forms in Hermitian symmetric spaces of compact type, J. Math. Soc. Japan, 64 no.4 (2012), 1297--1332
    3. doi:10.2969/jmsj/06441297
  3. (with M. S. Tanaka) Antipodal sets of symmetric $R$-spaces, Osaka J. Math. 50 no.1 (2013), 161--169
    4. http://projecteuclid.org/euclid.ojm/1364390424
  4. Antipodal sets in oriented real Grassmann manifolds, Internat. J. Math. 24 no.8 (2013), 1350061-1-28
    5. doi:10.1142/S0129167X13500614
  5. (with H. Iriyeh and T. Sakai) Lagrangian Floer homology of a pair of real forms in Hermitian symmetric spaces of compact type, J. Math. Soc. Japan 65 no.4 (2013), 1135-1151
    6. doi:10.2969/jmsj/06541135
  6. (with O. Ikawa and M. S. Tanaka) The fixed point set of a holomorphic isometry and the intersection of two real forms in the complex Grassmann manifold, Springer Proceedings in Mathematics & Statistics 106, Y.J. Suh et al. (eds.), ICM Satellite Conference on "Real and Complex Submanifolds", (2014), 319-327
    7. doi:10.1007/978-4-431-55215-4_28
  7. (with H. Iriyeh and T. Sakai) Lagrangian intersection theory and Hamiltonian volume minimizing problem, Springer Proceedings in Mathematics & Statistics 106, Y.J. Suh et al. (eds.), ICM Satellite Conference on "Real and Complex Submanifolds", (2014), 391-399
    8. doi:10.1007/978-4-431-55215-4_35
  8. Sequences of maximal antipodal sets of oriented real Grassmann manifolds, Springer Proceedings in Mathematics & Statistics 106, Y.J. Suh et al. (eds.), ICM Satellite Conference on "Real and Complex Submanifolds", (2014), 515-524
    9. doi:10.1007/978-4-431-55215-4_46
  9. (with M. S. Tanaka) The intersection of two real forms in Hermitian symmetric spaces of compact type II, J. Math. Soc. Japan 67 (2015), 275--291
    10. doi:10.2969/jmsj/06710275
  10. Estimates of antipodal sets in oriented real Grassmann manifolds, "Global Analysis and Differential Geometry on Manifolds," (special issue: the Kobayashi memorial volume), International Journal of Mathematics 26 no.5 (2015), 1541008-1-12
    11. doi:10.1142/S0129167X15410086
  11. (with O. Ikawa and M. S. Tanaka) The fixed point set of a holomorphic isometry, the intersection of two real forms in a Hermitian symmetric space of compact type and symmetric triads, "Global Analysis and Differential Geometry on Manifolds," (special issue: the Kobayashi memorial volume), International Journal of Mathematics 26 no.5 (2015), 1541005-1-32
    12. doi:10.1142/S0129167X15410050
  12. (with M. S. Tanaka) Correction to: ``The intersection of two real forms in Hermitian symmetric spaces of compact type'', J. Math. Soc. Japan Vol.67, No.3 (2015), 1161-1168
    13. doi:10.2969/jmsj/06731161
  13. Sequences of maximal antipodal sets of oriented real Grassmann manifolds II, Springer Proceedings in Mathematics & Statistics 203, Y.J. Suh et al. (eds.), "Hermitian-Grassmannian Submanifolds", (2017), 17-26
    14. doi:10.1007/978-981-10-5556-0_2
  14. (with M. S. Tanaka) Maximal antipodal subgroups of the automorphism groups of compact Lie algebras, Springer Proceedings in Mathematics & Statistics 203, Y.J. Suh et al. (eds.), "Hermitian-Grassmannian Submanifolds", (2017), 39-47
    15. doi:10.1007/978-981-10-5556-0_4
  15. (with M. S. Tanaka) Maximal antipodal subgroups of some compact classical Lie groups, Journal of Lie Theory, 27 (2017), No. 3, 801--829
  16. (with H. Iriyeh and T. Sakai) On the structure of the intersection of real flag manifolds in a complex flag manifold, Advanced Studies in Pure Mathematics 82, (2019), 87-98.
  17. (with M. S. Tanaka) Maximal antipodal sets of compact classical symmetric spaces and their cardinalities I, Differential Geometry and its Applications 73 (2020) 101682
    18. doi:10.1016/j.difgeo.2020.101682
  18. (with M. S. Tanaka) Addendum to: Maximal antipodal sets of compact classical symmetric spaces and their cardinalities I, Differential Geometry and its Applications 80 (2022) 101815
    19. doi:10.1016/j.difgeo.2021.101815
  19. (with M. S. Tanaka) Polars of disconnected compact Lie groups, Contemporary Mathematics 777 (2022), 211-225
    20. doi:10.1090/conm/777/15632
  20. (with M. S. Tanaka and O. Yasukura) Maximal antipodal sets related to G_2, Proc. Amer. Math. Soc. vol.150 No.10 (2022), 4533-4542
    21. doi:10.1090/proc/15989
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