Geometry and dynamics of relativistic particles with rigidity

General Relativity and Gravitation

Volumn 34, Issue 6, 2002, Pages 837-852

  Barros, Manuel ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

Anti De Sitter background; Hopf mappings; Moduli spaces of solutions; Spinning massless and massive particle

Indexed keywords

EID: 0141788022     PISSN: 00017701     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1016313814003     Document Type: Article

References (30)

1. Arroyo, J., Barros, M., and Garay, O. J. (2000). Some examples of critical points for the retal total mean curvature functional. Proc. Edinburgh Math. Soc. 43, 587.
2. Arroyo, J., Barros, M., and Garay, O. J. (2001). Holography and total charge. J. Geomet. Phys.
3. Barros, M., (1997). General helices and a theorem of Lancret. Proc. A. M. S. 125, 1503.
4. Barros, M., (1998). Free elasticae and Willmore tori in warped product spaces. Glasgow Math. J. 40, 265.
5. Barros, M., (2000). Willmore-Chen branes and Hopf T-duality. Class. Quantum Grav. 17, 1979.
6. Barros, M., Ferrández, A., Lucas, P. and Meroño, M. A. (1995). Hopf cylinders, B-scrolls and solitons of the Betchov-Da Rios equation in the three-dimensional anti De Sitter space. C. R. Acad. Sci. Paris 321, 505.
7. Barros, M., Cabrerizo, J. L. and Fernández, M., (2000). Elasticity and conformal tension via the Kaluza-Klein mechanism. J. Geomet. Phys. 34, 111.
8. Besse, A. L. (1987). Einstein manifolds. Springer Verlag, Berlin Heidelberg.
9. Cheng, S.-Y. (1976). Eigenfunctions and nodal sets. Comment. Math. Helv. 51, 43.
10. Erbacher, J., (1971). Reduction of the codimension of an isometric immersion. J. Differential Geometry 5, 333.
11. Fenchel, W., (1929). Über die Krümmung und Windung geschlossenen Raumkurven. Math. Ann. 101, 238.
12. Graves, L. (1979). Codimension one isometric immersions between Lorentz spaces. Trans Amer. Math. Soc. 252, 367.
13. Greub, W., Halperin, S., and Vanstone, R. (1972,1973,1976). Connections, Curvature and cohomology. 3 Vols. Academic Press, New-York.
14. Husain, V., and Jaimungal, S., (1999). Topological holography. Physical Review D 60, 061501-1/5.
15. Kazdan, J. L. and Warner, F. W. (1975). Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures. Ann. of Math. 101, 317.
16. Maldacena, J. (1998). Adv. Theor. Math. Phys. 2, 231.
17. Nersessian, A., Massless particles and the geometry of curves. Classical pictures. QFTHEP'99, Moscow 1999. hep-th/99911020.
18. Nersessian, A. (2000). D-dimensional massless particle with extended gauge invariance. Czech. J. Phys. 50, 1309.
19. Nersessian, A., and Ramos, E. (1999). A geometrical particle model for anyons. Mod. Phys. Lett. A 14, 2033.
20. Nesterenko, V. V., Feoli, A., and Scarpetta, G., (1995). Dynamics of relativistic particle with Lagrangian dependent on acceleration. J. Math. Phys. 36, 5552.
21. Nesterenko, V. V., Feoli, A., and Scarpetta, G., (1996). Complete integrability for Lagrangian dependent on acceleration in a space-time of constant curvature. Class. Quant. Grav. 13, 1201.
22. Ody, M. S. and Ryder, L. H. (1995). Time-independent solutions to the two-dimensional non-linear O(3) sigma model and surfaces of constant mean curvature. Int. J. Mod. Phys. A 10, 337.
23. O'Neill, B., (1983). Semi-Riemannian Geometry. Academic Press, New-York London.
24. Plyushchay, M. S. (1989). Massless point particle with rigidity. Mod. Phys. Lett. A 4, 837.
25. Plyushchay, M. S. (1990). Massless particle with rigidity as a model for the description of bososns and fermions. Phys. Lett. B 243, 383.
26. Plyushchay, M. S. Commemt on the relativistic particle with curvature and torsion of world trajectory. hep-th/9810101.
27. 3. Phys. Lett. B 464, 53.
28. Ramos, E. and Roca, J. (1995). W-symmetry and the rigid particle. Nuclear Physics B 436, 529.
29. Smale, S. (1961). Generalized Poincare conjecture in dimension greater than four. Ann. of Math. 74, 391.
30. Witten, E. (1998). Adv. Theor. Math. Phys. 2, 253.