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Tuesday Seminar on Topology
Seminar information archive ～06/11｜Next seminar｜Future seminars 06/12～
| Date, time & place | Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | HABIRO Kazuo, KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya |
2009/01/20
16:30-17:30 Room #002 (Graduate School of Math. Sci. Bldg.)
野澤 啓 (東京大学大学院数理科学研究科)
Five dimensional K-contact manifolds of rank 2
野澤 啓 (東京大学大学院数理科学研究科)
Five dimensional K-contact manifolds of rank 2
[ Abstract ]
A K-contact manifold is an odd dimensional manifold M with a contact form alpha whose Reeb flow preserves a Riemannian metric on M. For examples, the underlying manifold with the underlying contact form of a Sasakian manifold is K-contact. In this talk, we will state our results on classification up to surgeries, the existence of compatible Sasakian metrics and a sufficient condition to be toric for closed 5-dimensional K-contact manifolds with a T2 action given by the closure of the Reeb flow, which are obtained by the application of Morse theory to the contact moment map for the T2 action.
A K-contact manifold is an odd dimensional manifold M with a contact form alpha whose Reeb flow preserves a Riemannian metric on M. For examples, the underlying manifold with the underlying contact form of a Sasakian manifold is K-contact. In this talk, we will state our results on classification up to surgeries, the existence of compatible Sasakian metrics and a sufficient condition to be toric for closed 5-dimensional K-contact manifolds with a T2 action given by the closure of the Reeb flow, which are obtained by the application of Morse theory to the contact moment map for the T2 action.
