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Integrable Hamiltonian Systems on Complex Lie Groups
Velimir Jurdjevic
出版American Mathematical Soc., 2005
主題Mathematics / Algebra / GeneralMathematics / CalculusMathematics / Differential Equations / GeneralMathematics / Geometry / DifferentialMathematics / Group Theory
ISBN08218376489780821837641
URLhttp://books.google.com.hk/books?id=i-fUCQAAQBAJ&hl=&source=gbs_api
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註釋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 $G$