Results 91 to 100 of about 171 (111)

Momentum maps and reduction in algebraic geometry [PDF]

open access: yesDifferential Geometry and Its Applications, 1998
This survey article discusses how the geometry and topology of symplectic reductions at coadjoint orbits vary as the orbit varies, and what happens when the symplectic reductions acquire singularities, with applications including moduli spaces in ...
Frances Kirwan
exaly   +2 more sources

From retraction maps to symplectic-momentum numerical integrators [PDF]

open access: yesIFAC-PapersOnLine
Retraction maps have been generalized to discretization maps in (Barbero Li\~n\'an and and Mart\'{\i}n de Diego, 2022). Discretization maps are used to systematically derive numerical integrators that preserve the symplectic structure, as well as the ...
Maria Barbero Linan   +2 more
exaly   +2 more sources

Geometric and algebraic reduction for singular momentum maps [PDF]

open access: yesAdvances in Mathematics, 1990
This paper concerns the reduction of singular constraint sets of symplectic manifolds. It develops a “geometric” reduction procedure, as well as continues the work of Sniatycki and Patrick on reduction a la Dirac.
Arms, Judith M   +2 more
exaly   +2 more sources
Some of the next articles are maybe not open access.

Integrable symplectic maps via reduction of Bäcklund transformation

Theoretical and Mathematical Physics(Russian Federation), 2021
Dianlou Du
exaly  

Locally conformally symplectic reduction of the cotangent bundle

Annals of Global Analysis and Geometry, 2022
Miron Stanciu
exaly  

Symplectic reduction of holonomic open-chain multi-body systems with constant momentum

Journal of Geometry and Physics, 2015
Robin Chhabra, M Reza Emami
exaly  

Symplectic reduction at zero angular momentum

Journal of Geometric Mechanics, 2016
Christopher Seaton   +2 more
exaly  

Regularized Renormalization Group Reduction of Symplectic Maps

Journal of the Physical Society of Japan, 2001
Kazuhiro Nozaki
exaly  

Symmetry Reduction in Symplectic and Poisson Geometry

Letters in Mathematical Physics, 2004
Juan-Pablo Ortega, Ortega Juan-Pablo
exaly  

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