| 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)
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| 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.
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