Dirac-Nijenhuis manifolds

Reports on Mathematical Physics - Tập 53 Số 1 - Trang 123-142 - 2004
He Long-Guang1, Liu Bao-Kang1
1Department of Mathematics, Capital Normal University, Beijing 100037, China

Tóm tắt

Từ khóa


Tài liệu tham khảo

Kosmann-Schwarzbach, 1990, Poisson-Nijenhuis structures, Ann. Inst. Henri Poincaré, 53, 35

Magri, 1984, A geometrical characterization of integrable Hamiltonian systems through the theory of Poisson-Nijenhuis manifolds, Quaderno, 19

Courant, 1990, Dirac manifolds, Trans. Amer. Math. Soc., 319, 631, 10.2307/2001258

Mackenzie, 1994, Lie bialgebroids and Poisson groupoids, Duke Math. J., 73, 415, 10.1215/S0012-7094-94-07318-3

Liu, 1997, Manin triples for Lie bialgebroids, J. Diff. Geom., 45, 547, 10.4310/jdg/1214459842

Liu, 1998, Dirac structures and Poisson homogeneous spaces, Commun. Math. Phys., 192, 121, 10.1007/s002200050293