Finsleroid-Finsler space and geodesic spray coefficients

Publicationes Mathematicae Debrecen

Volumn 71, Issue 3-4, 2007, Pages 397-413

  Asanov, G S ^a,b  

^a Moscow State University ^*

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Angle; Finsler metrics; Geodesics; Indicatrix; Invariance

Indexed keywords

EID: 36248990219     PISSN: 00333883     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. H. RUND, The Differential Geometry of Finsler spaces, Berlin, 1959.
2. D. BAO, S. S. CHERN, and Z. SHEN, An Introduction to Riemann-Finsler Geometry, Springer, New Yoek, Berlin, 2000.
3. Z. SHEN, Differential Geometry of Spray and Finsler Spaces, Kluwer, Dordrecht, 2001.
4. J. I. HORVÁTH, New geometrical methods of the theory of physical fields, Nouv. Cim. 9 (1958), 444-496.
5. Y. TAKANO, Theory of fields in Finsler spaces, Progr. Theor. Phys. 32 (1968), 1159-1180.
6. R. S. INGARDEN and L. TAMÁSSY, On parabolic geometry and irreversible macroscopic time, Rep. Math. Phys. 32 (1993), 11.
7. R. S. INGARDEN, On physical applications of Finsler geometry, Contemporary Mathematics 196 (1996), 213-223.
8. L. KOZMA and L. TAMÁSSY, Finsler geometry without line element faced to application, Rep. Math. Phys. 51 (2003), 233.
9. G. S. ASANOV, Finsleroid-Finsler parallelism, Cosmological aspects, Rep. Math. Phys. 59 (2007), 111-125.
10. G. S. ASANOV, Finsleroid-Space, arXiv:math-ph/0406029.
11. G. S. ASANOV, Finsleroid space with angle and scalar product, Publications Mathematicae 67 (2005), 209-252.
12. G. S. ASANOV, Finsleroid-Finsler space with Berwald and Landsberg conditions, arXiv:math.DG/0603472, 2006.
13. G. S. ASANOV, Finsleroid-Finsler spaces of positive-definite and relativistic types, Rep. Math. Phys. 58 (2006), 275-300.
14. L. KOZMA, On Landsberg spaces and holonomy of Finsler manifolds, Contemporary Mathematics 196 (1996), 177-185.