Lax-type flows on grassmann manifolds and dual momentum mappings

Authors

A. K. Prykarpatsky, National Academy of Sciences of Ukraine
J. A. Zagrodziński, Institute of Physics of the Polish Academy of Sciences
D. L. Blackmore, New Jersey Institute of Technology

Document Type

Article

Publication Date

1-1-1997

Abstract

A general approach to building integrable Lax-type flows on Grassmann manifolds, based on the momentum mapping reduction theory, is developed. All of the flows are shown to be Hamiltonian with respect to different symplectic structures generated by dual special Hamiltonian actions on Grassmann manifolds. As a by-product of the approach a natural connection associated with dual momentum mappings is constructed explicitly via one Uhlmann's procedure.

Identifier

0031537238 (Scopus)

Publication Title

Reports on Mathematical Physics

External Full Text Location

https://doi.org/10.1016/s0034-4877(97)85903-4

ISSN

00344877

First Page

539

Last Page

549

Issue

3

Volume

40

Grant

2P03B.114.11

Fund Ref

Nanjing Institute of Technology

Recommended Citation

Prykarpatsky, A. K.; Zagrodziński, J. A.; and Blackmore, D. L., "Lax-type flows on grassmann manifolds and dual momentum mappings" (1997). Faculty Publications. 16885.
https://digitalcommons.njit.edu/fac_pubs/16885