| Project/Area Number |
21540063
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | University of Tsukuba |
|---|
Principal Investigator |
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
ITOH Mitsuhiro 筑波大学, 名誉教授 (40015912)
IKAWA Osamu 福島工業高等専門学校, 一般教科, 教授 (60249745)
SAKAI Takashi 首都大学東京, 理工学研究科, 准教授 (30381445)
|
|---|
| Research Collaborator |
TANAKA Makiko 東京理科大学, 理工学部, 准教授 (20255623)
IRIYEH Hiroshi 東京電機大学, 未来科学部, 准教授 (30385489)
|
|---|
| Project Period (FY) |
2009 – 2011
|
| Project Status |
Completed (Fiscal Year 2011)
|
| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
|---|
| Keywords | 微分幾何学 / 積分幾何学 / 等質空間 / 部分多様体 / Hermite対称空間 / 実形 / 対蹠集合 / 積分幾河学 / Hermite対称空問 / 交叉 |
|---|
| Research Abstract |
We proved that the intersection of two real forms in a Hermitian symmetric space of compact type is an antipodal set in a joint work with Makiko Tanaka and investigated their intersection by the use of the theory of polars introduced by Chen-Nagano. Using this result we determined the Floer homology of two real forms and extended Arnold-Givental inequalities in a joint work with Hiroshi Iriyeh and Takashi Sakai. Moreover we used these results and a kinematic formula to obtain an estimate of the volume of Hamiltonian deformation of a real form from below.
|
