奥田 隆幸 (Takayuki OKUDA) 査読付き論文リスト

出版された論文

1. (With Maciej Bochenski, Piotr Jastrzebski and Aleksy Tralle) ``Proper SL(2,R)-actions on homogeneous spaces'', Internat. J. Math. 27, 1650106, 10 pages (2016).
   http://www.worldscientific.com/doi/abs/10.1142/S0129167X16501068
   
   
2. (With Masatake Hirao and Masanori Sawa) ``Some remarks on cubature formulas with linear operators'', J. Math. Soc. Japan 68, 711-735 (2016).
   https://projecteuclid.org/euclid.jmsj/1460727377
   
   
3. ``Homogeneous space with non virtually abelian discontinuous groups but without any proper SL(2,R)-action'', Internat. J. Math. 27 (2016) [7 pages].
   http://www.worldscientific.com/doi/abs/10.1142/S0129167X1650018X?journalCode=ijm.
   
   
4. (With Wei-Hsuan Yu) ``A New relative bound for equiangular lines and nonexistence of tight spherical designs of harmonic index 4'', European J. Combin 53: 96-103 (2016).
   http://www.sciencedirect.com/science/article/pii/S0195669815002498
   
   
5. (With Eiichi Bannai and Makoto Tagami) ``Spherical designs of harmonic index t'', J. Approx. Theory, 195:1-18 (2015).
   http://www.sciencedirect.com/science/article/pii/S0021904514001324
   
   
6. ``Smallest complex nilpotent orbits with real points'', J. Lie Theory, 25:507-533 (2015).
   http://www.heldermann.de/JLT/JLT25/JLT252/jlt25025.htm
   
   
7. ``Classification of semisimple symmetric spaces with proper SL(2,R)-actions'', J. Differential Geom. 94:301-342 (2013).
   http://projecteuclid.org/euclid.jdg/1367438651
   
   
8. ``Proper actions of SL(2,R) on semisimple symmetric spaces'', Proc. Japan Acad. Ser. A Math. Sci. 87:35-39 (2011).
   http://projecteuclid.org/euclid.pja/1299161393
   
   
9. ``不変式環におけるzeta多項式と微分作用素の関係について'', 京都大学数理解析研究所講究録別冊, B20:57-69 (2010).
   http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu/open/B20/pdf/B20-5.pdf
   
   

   出版予定の論文

10. ``Abundance of nilpotent orbits in real semisimple Lie algebras'', to appear in J. Math. Sci. Univ. Tokyo (accepted at 20, Feb. 2017).
    
    
11. ``Geodesics of Riemannian symmetric spaces included in reflective submanifolds'', to appear in Proceedings of the 5th International Colloquium on Differential Geometry and its Related Fields (accepted at 13, Feb. 2017).

    プレプリント

12. ``Relation between spherical designs through a Hopf map'', preprint (available at arXiv:150608414 ), 14 pp.
    
    
13. (With Oskar Hamlet) ``Tight map and holomorphicity, exceptional spaces'', preprint (available at arXiv:1410.8061 ), 16 pp.
    
    
14. (With Hirotake Kurihara) ``Great antipodal sets of complex Grassmannian manifolds as designs with the smallest cardinalities'', preprint (available at arXiv:1303.5936 ), 38 pp.