Last update : 30 May, 2008

Takashi SAKAI's webpage

Research Interests

Integral geometry in Riemannian homogeneous spaces

Hamiltonian stabilities of Lagrangian submanifolds

Integrable systems and Visualization

Publications

1. (with O. Ikawa and H. Tasaki) Orbits of Hermann actions, Osaka J. Math. 38 (2001), 923-930.
2. (with H.J. Kang, M. Takahashi and H. Tasaki) Poincare formulas of complex submanifolds, Proc. Japan Acad. 80 (2004), Ser.A, No.6, 110-112.
3. Poincare formula in irreducible Hermitian symmetric spaces, Tokyo J. Math. 26 (2003), No.2, 541-547.
4. (with H. Iriyeh and H. Ono) Integral geometry and Hamiltonian volume minimizing property of a totally geodesic Lagrangian torus in S^2 x S^2, Proc. Japan Acad. 79 (2003), Ser.A, No.10, 167-170.
5. (with H.J. Kang and Y.J. Suh) Kinematic formulas for integral invariants of degree two in real space forms, Indiana Univ. Math. J. 54 (2005), No.5, 1499-1520.
6. Transferred kinematic formulae in two point homogeneous spaces, Tsukuba J. Math. 31 (2007), no. 2, 343-354.

1. (with O. Ikawa and H. Tasaki) Weakly reflective submanifolds and austere submanifolds, arXiv:math/0612384
2. (with O. Ikawa and H. Tasaki) Orbits of s-representations with degenerate Gauss mappings, arXiv:0803.2391

1. Kinematic formulas in Riemannian homogeneous spaces (in Japanese), Surikaisekikenkyusho Kokyuroku 1346 (2003), 113-130. (in Japanese)
2. (with H. Iriyeh and H. Ono) Hamiltonian volume minimizing properties of Lagrangian submanifolds, Surikaisekikenkyusho Kokyuroku 1403 (2004), 10-17.
3. Integral geometry and Hamiltonian volume minimizing property, Proceedings of the 9th International Workshop on Differential Geometry, Kyungpook National University, Taegue, Korea, 2004.
4. 3D-XplorMath, Proceedings of the International Workshop "Integrable systems, Geometry and Visualization", Kyushu University, 2004.
5. On the transfer principle in integral geometry, Proceedings of the 10th International Workshop on Differential Geometry, Kyungpook National University, Taegue, Korea, 2005.

1. Integral geometry and Hamiltonian volume minimizing property I, II, The 9th International Workshop on Differential Geomtry, Kyungpook National University, Korea, November 12-13, 2004. [Slide_I] [Slide_II]
2. Transfer principle in integral geometry, 52th Geometry Symposium, [Abstract] [Slide]
3. Transferred kinematic formulae in two point homogeneous spaces, The 10th International Workshop on Differential Geomtry, Kyungpook National University, Korea, November 10-11. 2005. [Slide]
4. Weakly reflective orbits and tangentially degenerate orbits of s-representations, One-Day Workshop on Differential Geometry, National Taiwan University, Taipei, April 1, 2008. [Slide]

Links

OCAMI (Osaka City University Advanced Mathematical University)

Department of Mathematics, Osaka City University

TMUGS (Tokyo Metropolitan University Geometry Server)

Mathematical Society of Japan

Geometry section of the MSJ