Table of Contents
Corrigendum

A corrigendum for this article has been published. To view the corrigendum, please click here.

Chinese Journal of Mathematics
Volume 2016, Article ID 3081840, 10 pages
http://dx.doi.org/10.1155/2016/3081840
Research Article

Geometric Framework for Unified Field Theory Using Finsler Gauge Transformation

1Department of Mathematics, Vijaya College, Rastriya Vidyalaya Road, Bengaluru, Karnataka 560 004, India
2Department of Mathematics, Kuvempu University, Shankarghatta, Karnataka 577 451, India

Received 29 April 2016; Revised 14 July 2016; Accepted 23 July 2016

Academic Editor: Zisheng Wang

Copyright © 2016 Mallikarjuna Yallappa Kumbar et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. P. L. Antonelli and I. Bucataru, “Finsler connections in anholonomic geometry of a Kropina space,” Nonlinear Studies, vol. 8, no. 1, pp. 171–184, 2001. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. P. L. Antonelli and I. Bucataru, “On Holland's frame for Randers space and its applications in physics,” in Steps in Differential Geometry, Proceedings of the Colloquium on Differential Geometry, 25–30 July, 2000, Debrecen, Hungary, Institute of Mathematics and Informatics, 2001. View at Google Scholar
  3. I. Bucataru and R. Miron, “Finsler-Lagrange geometry, applications to dynamical systems,” CEEXET 3174/2005-2007, CEEX M III 12595/2007, 2007. View at Google Scholar
  4. M. Anastasiei and H. Shimada, “Beil metrics associated to a Finsler space,” Balkan Journal of Geometry and its Applications (BJGA), vol. 3, no. 2, pp. 1–16, 1998. View at Google Scholar
  5. R. G. Beil, “Finsler and kaluza-klein gauge theories,” International Journal of Theoretical Physics, vol. 32, no. 6, pp. 1021–1031, 1993. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. R. G. Beil, “Finsler gauge transformations and general relativity,” International Journal of Theoretical Physics, vol. 31, no. 6, pp. 1025–1044, 1992. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. D. Hrimiuc and H. Shimada, “On the L-duality between Lagrange and Hamilton manifolds,” Nonlinear World, vol. 3, no. 4, pp. 613–641, 1996. View at Google Scholar · View at MathSciNet
  8. M. Matsumoto, Foundations of Finsler Geometry and Special Finsler Spaces, Kaisheisha Press, Otsu, Japan, 1986. View at MathSciNet
  9. D. Bao, S. S. Chern, and Z. Shen, An Introduction to Riemann-Finsler Geometry, Springer, New York, NY, USA, 2000.
  10. G. S. Asanov, Finsler Geometry, Relativity and Gauge Theories, Reidel, Dordrecht, The Netherlands, 1985. View at Publisher · View at Google Scholar
  11. P. L. Antonelli, R. S. Ingarden, and M. Matsumoto, The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology, vol. 58 of Fundamental Theories of Physics, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1993. View at Publisher · View at Google Scholar · View at MathSciNet
  12. R. Miron and M. Anastasiei, The Geometry of Lagrange Spaces: Theory and Applications, vol. 59 of Fundamental Theories of Physics, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1994. View at Publisher · View at Google Scholar · View at MathSciNet
  13. R. G. Beil, “Electroweak symmetry on the tangent bundle,” International Journal of Theoretical Physics, vol. 40, no. 2, pp. 591–601, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  14. P. R. Holland, “Geometry of dislocated de Broglie waves,” Foundations of Physics, vol. 17, no. 4, pp. 345–363, 1987. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  15. I. Bucataru, “Nonholonomic frames in Finsler geometry,” Balkan Journal of Geometry and Its Applications, vol. 7, no. 1, pp. 13–27, 2002. View at Google Scholar · View at MathSciNet · View at Scopus
  16. V. Balan, “Synge-Beil and Riemann-Jacobi jet structures with applications to physics,” International Journal of Mathematics and Mathematical Sciences, vol. 2003, no. 27, pp. 1693–1702, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. R. G. Beil, “Equations of motion from Finsler geometric methods,” in Finslerian Geometries: A Meeting of Minds, P. L. Antonelli, Ed., vol. 109 of Fundamental Theories of Physics, pp. 95–109, Kluwer Academic, Dordrecht, The Netherlands, 2000. View at Publisher · View at Google Scholar · View at MathSciNet
  18. R. G. Beil, “Finsler geometry and relativistic field theory,” Foundations of Physics, vol. 33, no. 7, pp. 1107–1127, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. P. R. Holland and C. Philippidis, “Anholonomic deformations in the ether: a significance for the electrodynamic potentials,” in Quantum Implications, B. J. Hiley and F. D. Peat, Eds., pp. 295–311, Routledge and Kegan Paul, New York, NY, USA, 1987. View at Google Scholar · View at MathSciNet
  20. P. R. Holland, “Electromagnetism, particles and anholonomy,” Physics Letters A, vol. 91, no. 6, pp. 275–278, 1982. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  21. R. S. Ingarden, “On physical interpretations of Finsler & Kawagneli spaces,” Tensor, vol. 46, pp. 354–360, 1987. View at Google Scholar
  22. R. G. Beil, “Electrodynamics from a metric,” International Journal of Theoretical Physics, vol. 26, no. 2, pp. 189–197, 1987. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus