Induced Dirac structures on isotropy-type manifolds-Reference-Cited by-同舟云学术

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Induced Dirac structures on isotropy-type manifolds

Published:2011-02-25 Issue:1 Volume:16 Page:175-191
ISSN:1083-4362
Container-title:Transformation Groups
language:en
Short-container-title:Transformation Groups

Author:

Jotz M.,Ratiu T. S.

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Algebra and Number Theory

Link

http://link.springer.com/content/pdf/10.1007/s00031-011-9123-z.pdf

Reference24 articles.

1. H. Bursztyn, M. Crainic, Dirac structures, momentum maps, and quasi-Poisson manifolds, in: The Breadth of Symplectic and Poisson Geometry, Progress in Mathematics, Vol. 232, Birkhäuser Boston, Boston, MA, 2005, pp. 1–40, MR MR2103001 (2006e:53147).

2. H. Bursztyn, G. R. Cavalcanti, M. Gualtieri, Reduction of Courant algebroids and generalized complex structures, Adv. Math. 211 (2007), no. 2, 726–765.

3. E. Bierstone, Lifting isotopies from orbit spaces, Topology 14 (1975), no. 3, 245–252, MR MR0375356 (51 #11551).

4. G. Blankenstein, Implicit Hamiltonian systems: Symmetry and interconnection, PhD Thesis, University of Twente, 2000.

5. G. Blankenstein, T. S. Ratiu, Singular reduction of implicit Hamiltonian systems, Rep. Math. Phys. 53 (2004), no. 2, 211–260, MR MR2068644 (2005k:37126).

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2. Dirac–Lie systems and Schwarzian equations;Journal of Differential Equations;2014-10

3. Invariant Poisson Realizations and the Averaging of Dirac Structures;Symmetry, Integrability and Geometry: Methods and Applications;2014-09-15

4. Dirac Structures, Nonholonomic Systems and Reduction;Reports on Mathematical Physics;2012-02

5. Dirac Optimal Reduction;International Mathematics Research Notices;2012-01-10

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