Browse Journals

[1] R. Abraham and J. E. Marsden, Foundations of Mechanics, 2nd Edition, Reading, Massachusetts, 1978.

[2] M. F. Atiyah, New Invariants of 3-and 4-Dimensional Manifolds, The Mathematical Heritage of Hermann Weyl (Durham, NC, 1987), 285-299, Proc. Sympos. Pure Math., 48, Amer. Math. Soc., Providence, RI, 1988.

[3] M. F. Atiyah and R. Bott, The Yang-Mills equations over Riemann surfaces, Philos. Trans. Roy. Soc. London Ser. A 308(1505) (1983), 523-615.

[4] O. E. Barndorff-Nielsen and P. E. Jupp, Yokes and symplectic structures, J. Statist. Plann. Inference 63(2) (1997), 133-146.

[5] C. M. de Barros, Sur la géometrie différentielle des formes différentielles extérieures quadratiques, In: Atti Convegno Intern. Geometria Differenziale, Bologna (1967), 117-142, Bologna: Ed. Zanichelli.

[6] M. BÅ‚aszak and K. Marciniak, Dirac reduction of dual Poisson-presymplectic pairs, J. Phys. A 37(19) (2004), 5173-5187.

[7] M. Bordemann, M. Forger and H. Römer, Homogeneous Kähler manifolds: Paving the way towards new supersymmetric sigma models, Comm. Math. Phys. 102 (1986), 605-647.

[8] A. Borel and J. de Siebenthal, Les sous-groupes fermés de rang maximum des groupes de Lie clos, Comment. Math. Helv. 23 (1949), 200-221.

[9] F. Cantrijn, A. Ibort and M. de León, On the geometry of multisymplectic manifolds, J. Austral. Math. Soc. (Series A) 66 (1999), 303-330.

[10] S. K. Donaldson, Symmetric Spaces, Kähler Geometry and Hamiltonian Dynamics, Northern California Symplectic Geometry Seminar, 13-33, Amer. Math. Soc. Transl. Ser. 2, 196, Amer. Math. Soc., Providence, RI, 1999.

[11] T. Friedrich, Die Fisher-information und symplectische Strukturen, Math. Nachr. 153 (1991), 273-296.

[12] M. Gromov, Pseudo holomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), 307-347.

[13] V. Guillemin and S. Sternberg, Symplectic Techniques in Physics, Cambridge Univ. Press, Cambridge, 1984.

[14] A. Lichnerowicz, Les variétés de Poisson et leurs algèbres de Lie associées, J. Diff. Geom. 12 (1977), 253-300.

[15] T. Mabuchi, Some symplectic geometry on compact Kähler manifolds (I), Osaka J. Math. 24 (1987), 227-252.

[16] Y. Matsushima, Sur les espaces homogènes Kählériens d’un groupe de lie réductif, Nagoya Math. J. 11 (1957), 53-60.

[17] Y. Nakamura, Completely integrable gradient systems on the manifolds of Gaussian and multinomial distributions, Japan J. Indust. Appl. Math. 10 (1993), 179-189.

[18] L. K. Norris, Generalized Symplectic Geometry on the Frame Bundle of a Manifold, In Proc. Symp. Pure Math., R.E. Green and S. T. Yau Eds., 54 (1993), 435-466.

[19] C. Paufler and H. Roemer, Geometry of Hamiltonian n-vectors in Multisymplectic Field Theory, arXiv: math-ph/0102008.

[20] G. Sardanashvily, Generalized Hamiltonian Formalism for Field Theory, Constraint Systems, World Scientific, Singapore, 1995.

[21] H. Toda and M. Mimura, Topology of Lie Groups, I and II, American Mathematical Society, Providence-Rhode Island, 1991.

[22] I. Vaisman, Geometric quantization on presymplectic manifolds, Monatsh. Math. 96(4) (1983), 293-310.

[23] I. Vaisman, Lectures on the Geometry of Poisson Manifolds, Progress in Mathematics, 118, Birkhäuser Verlag, Basel, 1994.