Publications: Discontinuous groups for non-Riemannian homogeneous spaces:

Locally symmetric spaces, uniform lattice, deformation of discontinuous groups, rigidity

[5] T. Kobayashi and K. Ono, Note on Hirzebruch's proportionality principle, Surikaiseki Kokyuroku, RIMS 700 (1989), 103-126, Representation Theory and its Applications to Physics (organized by Y. Kanie).
[ full info ]
[6] T. Kobayashi, Properly discontinuous actions on reductive homogeneous spaces, Seminar Reports of Unitary Representation 8 (1988), 17-22 (in Japanese), at the annual conference on unitary representation theory at Lake-Kawaguchi (organized by H. Yamada), December 1988.
[ full info ]
[9] T. Kobayashi, Proper action on a homogeneous space of reductive type, Math. Ann. 285 (1989), no. 2, 249-263.
[ full info ]
[12] T. Kobayashi, Homogeneous spaces with indefinite-metric and discontinuous groups, 36th Symposium on Differential Geometry, 1989, pp. 104-116 (in Japanese).
[ full info ]
[14] T. Kobayashi, Discontinuous groups acting on non-Riemannian homogeneous spaces, Surikaiseki Kokyuroku, RIMS 737 (1990), 6-29, Workshop on Algebraic Groups and Related Topics (organized by I. Satake).
[ full info ]
[15] T. Kobayashi and K. Ono, Note on Hirzebruch's proportionality principle, Jour. Fac. Sci. Univ. Tokyo 37 (1990), no. 1, 71-87.
[ full info | preprint version(dvi) ]
[16] T. Kobayashi, Discontinuous group in a homogeneous space of reductive type, Seminar Reports of Unitary Representation 10 (1990), 41-45, at the International Conference on Representation Theories of Lie Groups and Lie Algebras at Lake-Kawaguchi.
[ full info ]
[20] T. Kobayashi, Discontinuous groups acting on homogeneous spaces of reductive type, Proceedings of Representation Theory of Lie Groups and Lie Algebras, Fuji-Kawaguchiko, 1990 (T. Kawazoe, T. Oshima, and S. Sano, eds.), World Scientific, 1992, pp. 59-75, ISBN 9810210906.
[ full info | preprint version(dvi) | Amazon.com ]
[21] T. Kobayashi, A necessary condition for the existence of compact Clifford-Klein forms of homogeneous spaces of reductive type, Duke Math. J. 67 (1992), 653-664.
[ full info | preprint version(dvi) ]
[25] T. Kobayashi, On discontinuous groups acting on homogeneous spaces with noncompact isotropy subgroups, J. Geom. Physics 12 (1993), 133-144.
[ full info | preprint version(dvi) ]
[29] T. Kobayashi, Discontinuous groups acting on homogeneous spaces - Calabi-Markus phenomenon, compact Clifford-Klein forms, Lecture notes of European School on Group Theory held at Sandbjerg Gods', August 15-26, 1994, 30 pp.
[ full info ]
[33] T. Kobayashi, Criterion for proper actions on homogeneous spaces of reductive groups, J. Lie Theory 6 (1996), no. 2, 147-163.
[ full info ]
[34] T. Kobayashi, Discontinuous groups and Clifford-Klein forms of pseudo-Riemannian homogeneous manifolds, Algebraic and Analytic Methods in Representation Theory (H. Schlichtkrull and B. Ørsted, eds.), Perspectives in Mathematics, vol. 17, Academic Press, 1996, pp. 99-165, ISBN 0-12-625440-0.
[ full info | preprint version(dvi) | abstract(dvi) | Amazon.com ]
[35] T. Kobayashi, A vanishing theorem of modular symbols on locally symmetric varieties, (notes taken by S. Ishikawa), Proceedings of Representation Theory and Related Topics, Kurashiki 1996 (N. Shimeno, ed.), 1996, pp. 1-16 (in Japanese).
[ full info | preprint version(dvi) ]
[39] T. Kobayashi, Monastir Seminar on proper actions, discontinuous groups, and uniform lattices for pseudo-Riemannian homogeneous manifolds, Proceedings of the CIMPA School, held in Tunisia, July-August 1996 (P. Torasso in Poitiers, ed.), 1997.
[ full info | preprint version(dvi) ]
[47] T. Kobayashi and T. Oda, A vanishing theorem for modular symbols on locally symmetric spaces, Comment. Math. Helv. 73 (1998), 45-70.
[ full info | preprint version(dvi) | SpringerLink ]
[50] T. Kobayashi, Deformation of compact Clifford-Klein forms of indefinite-Riemannian homogeneous manifolds, Math. Ann. 310 (1998), no. 3, 395-409.
[ full info | preprint version(dvi) | SpringerLink ]
[61] T. Kobayashi, Discontinuous groups for non-Riemannian homogeneous spaces, Mathematics Unlimited - 2001 and Beyond (B. Engquist and W. Schmid, eds.), Springer-Verlag, 2001, pp. 723-747.
[ full info | Amazon.com ]
[64] T. Kobayashi, Discontinuous groups for non-Riemannian homogeneous spaces (translation from English), Sugaku no Saisentan, challenge to the 21th century, vol. 1, Springer-Verlag, Tokyo, 2002, pp. 18-73 (in Japanese).
[ full info | Amazon.co.jp ]
[65] T. Kobayashi, Introduction to actions of discrete groups on pseudo-Riemannian homogeneous manifolds, Acta Appl. Math. 73 (2002), 115-131.
[ full info | RIMS preprint(pdf) | RIMS preprint(ps.gz) | abstract(html) | SpringerLink ]
[86] T. Kobayashi, On discontinuous group actions on non-riemannian homogeneous spaces, Sugaku 57 (2005), 267-281 (in Japanese), An English translation is to appear from Amer. Math. Soc.
[ full info | preprint version(pdf) ]
[87] T. Kobayashi and T. Yoshino, Compact Clifford-Klein forms of symmetric spaces - revisited, Pure and Appl. Math. Quarterly 1 (2005), 603-684, Special Issue: In Memory of Armand Borel.
[ full info | arXiv | RIMS preprint(pdf) | RIMS preprint(ps.gz) ]
[93] T. Kobayashi and S. Nasrin, Deformation space of discontinuous groups Zk for a nilmanifold Rk+1, Surikaiseki Kokyuroku, RIMS 1467 (2006), 101-111, Representation Theory of Groups and Extension of Harmonic Analysis (edited by T. Kawazoe).
[ full info | preprint version(pdf) | preprint version(dvi) ]
[98] T. Kobayashi and S. Nasrin, Deformation of properly discontinuous actions of Zk on Rk+1, Internat. J. Math. 17 (2006), no. 10, 1175-1193, math.DG/0603318.
[ full info | arXiv | RIMS preprint(pdf) | RIMS preprint(ps.gz) ]
[P] T. Kobayashi, On discontinuous group actions on non-Riemannian homogeneous spaces, to appear in Sugaku Expositions, Amer. Math. Soc.; a translation of the original article in Japanese. math.DG/0603319.
[ full info | arXiv | RIMS preprint(pdf) | RIMS preprint(ps.gz) ]

Back to the home page


Last modified: 7 January 2007