By Vacaru S., Stavrinos P.
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Extra resources for Clifford and RiemannFinsler Structures in Geometric Mechanics and Gravity
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Antonelli, Handbook of Finsler Geometry, Vol. 1,2 (Kluwer, 2003) [2] P. L. Antonelli, R. S. Ingarden, M. ) P. L. Antonelli and R. Miron, in cooperation with M. Anastasiei and G. Zet, Lagrange and Finsler Geometry. , S. Asanov, Finsler Geometry, Relativity and Gauge Theories (Boston: Reidel, 1985) [5] G. S. Asanov, Finslerian and Jet Gauge Fields (Moscow University, 1989) [in Russian] [6] G. S. Asanov and S. F. Ponomarenko, Finslerovo Rassloenie nad Prostranstvom– Vremenem, Assotsuiruemye Kalibrovochnye Polya is Sveaznosti (Nauka, Kishinev, 1988) [in Russian]; Finsler bundle on Space–Time.
Vacaru, Spinors and Field Interactions in Higher Order Anisotropic Spaces, JHEP, 09 (1998) 011 [60] S. Vacaru, Interactions, Strings and Isotopies in Higher Order Anisotropic Superspaces (Hadronic Press, Palm Harbor, FL, USA, 1998), 450 pages, math–ph/ 0112065 [61] S. Vacaru, Stochastic Processes and Thermodynamics on Curved Spaces, Ann. Phys. (Leipzig), 9 (2000) Special Issue, 175–176, gr-qc/ 0001057 [62] S. Vacaru, Anholonomic Soliton–Dilaton and Black Hole Solutions in General Relativity, JHEP, 04 (2001) 009 [63] S.
The approach is developed, for instance, by the authors of Ref. [7]. The idea to use spinor variables in Finsler spaces is due to Y. Takano (1983) [46] (see the monograph [87] for details, discussions, and references related to further contributions by T. Ono and Y. Takano, P. Stavrinos and V. Balan, who used 2–spinor variables but do not defined and do not proved the existence of general Clifford structures induced by Finsler metrics and connections; the spinor variables constructions, in that monograph, are compared with the S.