Hamiltonian approaches of field theory

International Journal of Mathematics and Mathematical Sciences

Volumn 2004, Issue 57, 2004, Pages 3045-3056

  Udrişte, Constantin ^a   Teleman, Ana Maria ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17844378169     PISSN: 01611712     EISSN: None     Source Type: Journal    
DOI: 10.1155/S0161171204402282     Document Type: Article

References (18)

1. J. P. Bourguignon, An introduction to geometric variational problems, Lectures on Geometric Variational Problems (Sendai, 1993) (S. Nishikawa and R. Schoen, eds.), Springer, Tokyo, 1996, pp. 1-41. MathSciNet.
2. T. de Donder, Theorie Invariantive du Calcul des Variations, Gauthier-Villars, Paris, 1935.
3. G. Giachetta, L. Mangiarotti, and G. Sardanashvily, Covariant Hamilton equations for field theory, J. Phys. A 32 (1999), no. 38, 6629-6642. MathSciNet.
4. M. J. Gotay, J. Isenberg, J. E. Marsden, and R. Montgomery, Momentum maps and classical relativistic fields. Part I: covariant field theory, preprint, 1997, http://xxx.lanl.gov/physics/9801019.
5. J. Jost, X. Peng, and G. Wang, Variational aspects of the Seiberg-Witten functional, Calc. Var. Partial Differential Equations 4 (1996), no. 3, 205-218. CrossRef. MathSciNet. Zentralblatt für Mathematik.
6. J. Mawhin and M. Willem, Critical Point Theory and Hamiltonian Systems, Applied Mathematical Sciences, vol. 74, Springer, New York, 1989. MathSciNet. Zentralblatt für Mathematik.
7. Ch. Okonek and A. Teleman, Seiberg-Witten invariants and rationality of complex surfaces, Math. Z. 225 (1997), no. 1, 139-149. MathSciNet. Zentralblatt für Mathematik.
8. A. Teleman, Seiberg-Witten Theorie und komplexe Geometrie, Vorlesung, Phylosophische Fakultät II, Universität Zürich, Zurich, 1996-1997.
9. A. Teleman, Non-abelian Seiberg-Witten theory, Habilitationsschrift, Universität Zürich, Zurich, 1996.
10. A. Teleman, Non-abelian Seiberg-Witten theory and stable oriented pairs, Internat. J. Math. 8 (1997), no. 4, 507-535. CrossRef. MathSciNet. Zentralblatt für Mathematik.
11. A.-M. Teleman, First variation formulas for a Witten-type functional. I, An. Univ. Bucureşti Mat. Inform. 50 (2001), no. 2, 247-260. MathSciNet.
12. A.-M. Teleman, First variation formulas fora Witten-type functional. II, An. Univ. Bucureşti Mat. Inform. 52 (2003), no. 1, 87-104.
13. A.-M. Teleman and C. Udrişte, On Hamiltonian formalisms in mathematical physics, 4th International Conference of Balkan Society of Geometers, Aristotle University of Thessaloniki, Greece, June 2002.
14. K. Teleman, Teorie Seiberg-Witten, Curs-Anul 4, Universitatea Bucureşti, Bucharest, 1995-1996.
15. H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, North-Holland Mathematical Library, vol. 18, North-Holland Publishing, Amsterdam, 1978. MathSciNet. Zentralblatt für Mathematik.
16. C. Udrişte, Solutions of D Es and PDEs as potential maps using first order Lagrangians, Balkan J. Geom. Appl. 6 (2001), no. 1, 93-108. MathSciNet.
17. C. Udrişte and M. Postolache, Atlas of Magnetic Geometric Dynamics, Balkan Society of Geometers Monographs and Textbooks, vol. 3, Geometry Balkan Press, Bucharest, 2001. MathSciNet.
18. E. Witten, Monopoles and four-manifolds, Math. Res. Lett. 1 (1994), no. 6, 769-796. MathSciNet. Zentralblatt für Mathematik.