Integrable Hamiltonian Systems on Complex Lie Groups

Download or read book Integrable Hamiltonian Systems on Complex Lie Groups written by Velimir Jurdjevic and published by American Mathematical Soc.. This book was released on 2005 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies the elastic problems on simply connected manifolds $M_n$ whose orthonormal frame bundle is a Lie group $G$. This title synthesizes ideas from optimal control theory, adapted to variational problems on the principal bundles of Riemannian spaces, and the symplectic geometry of the Lie algebra $\mathfrak{g}, $ of $G$