Integrable Hamiltonian systems on complex Lie groups / V. Jurdjevic.

Introduction Cartan decomposition and the generalized elastic problems The maximum principle and the Hamiltonians The left-invariant symplectic form Symmetries and the conservation laws Part 2. Complex Lie groups and complex Hamiltonians: Complexified elastic problems Complex elasticae of Euler and...

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Bibliographic Details
Main Author: Jurdjevic, Velimir
Format: eBook
Language:English
Published: Providence, R.I. : American Mathematical Society, 2005.
Series:Memoirs of the American Mathematical Society ; no. 838.
Subjects:
Online Access:Click for online access

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245 1 0 |a Integrable Hamiltonian systems on complex Lie groups /  |c V. Jurdjevic. 
260 |a Providence, R.I. :  |b American Mathematical Society,  |c 2005. 
300 |a 1 online resource (viii, 133 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Memoirs of the American Mathematical Society,  |x 1947-6221 ;  |v v. 838 
500 |a "Volume 178, number 838 (second of 5 numbers)." 
504 |a Includes bibliographical references (pages 132-133). 
588 0 |a Print version record. 
520 8 |a Introduction Cartan decomposition and the generalized elastic problems The maximum principle and the Hamiltonians The left-invariant symplectic form Symmetries and the conservation laws Part 2. Complex Lie groups and complex Hamiltonians: Complexified elastic problems Complex elasticae of Euler and its n-dimensional extensions Cartan algebras, root spaces and extra integrals of motion Elastic curves for the case of Lagrange Elastic curves for the case of Kowalewski Bibliography. 
505 0 0 |t 1. Introduction  |t 2. Cartan decomposition and the generalized elastic problems  |t 3. The maximum principle and the Hamiltonians  |t 4. The left-invariant symplectic form  |t 5. Symmetries and the conservation laws  |t 6. Complexified elastic problems  |t 7. Complex elasticae of Euler and its $n$-dimensional extensions  |t 8. Cartan algebras, root spaces and extra integrals of motion  |t 9. Elastic curves for the case of Lagrange  |t 10. Elastic curves for the case of Kowalewski. 
650 0 |a Hamiltonian systems. 
650 0 |a Lie groups. 
650 0 |a Manifolds (Mathematics) 
650 7 |a Hamiltonian systems  |2 fast 
650 7 |a Lie groups  |2 fast 
650 7 |a Manifolds (Mathematics)  |2 fast 
776 0 8 |i Print version:  |a Jurdjevic, Velimir.  |t Integrable Hamiltonian systems on complex Lie groups /  |x 0065-9266  |z 9780821837641 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 838.  |x 0065-9266 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=3114081  |y Click for online access 
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