Application of and development in geometric mechanics
Project/Area Number |
22540225
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Global analysis
|
Research Institution | Kyoto University |
Principal Investigator |
IWAI Toshihiro 京都大学, 大学院・情報学研究科, 教授 (10021635)
|
Project Period (FY) |
2010 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
Keywords | 力学系 / 幾何学的力学系理論 / チャーン数(フランス) / 正8面体群 / 3準位系 / 幾何力学 / ポート制御 / 配位平坦 / チャーン数 / 2面体群 / 正6面体群 / 宙返り / 擬剛体 |
Research Abstract |
Differential geometric methods are applied to the studies of (1) the modeling of the falling cat as a port-controlled Hamiltonian system along with a realization of a somersault as an animation, (2) the reduction of the classical and quantum mechanics of a linearly deformable body by two-sided symmetry group action, (3) the parametric dependence of Chern numbers of the eigen-line bundles associated with eigenvalues of a parametric family of Hermitian matrices which are defined on the two-sphere and invariant under a discrete subgroup of the rotation group, (4) a Riemannian optimization approach to the singular value decomposition of matrices, and (5) some other projects.
|
Report
(4 results)
Research Products
(22 results)