On Some Generalized Finsler Connection with Torsion
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Authors
H. Wosoughi
- Departement of Mathematics, Islamic Azad University, Babol Branch, Iran
Abstract
In the present article we generalize the connection of M. Hashiguchi and S. Hojo and study some uniqueness theorems and finally obtain the relationship between Cartan connection and the so-called Finsler connection.
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ISRP Style
H. Wosoughi, On Some Generalized Finsler Connection with Torsion, Journal of Mathematics and Computer Science, 1 (2010), no. 3, 136--141
AMA Style
Wosoughi H., On Some Generalized Finsler Connection with Torsion. J Math Comput SCI-JM. (2010); 1(3):136--141
Chicago/Turabian Style
Wosoughi, H.. "On Some Generalized Finsler Connection with Torsion." Journal of Mathematics and Computer Science, 1, no. 3 (2010): 136--141
Keywords
- Generalized Finsler connection
- Hashiguchi and Hojo connection
- Cartan connection
- Chern-Rund connection
- Berwald connection.
MSC
References
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[1]
D. Bao, S. S. Chern, On a notable connection in Finsler geometry, Houston J. Math., 19 (1993), 130--180
-
[2]
D. Bao, S.-S. Chern, Z. Shen, An introduction to Riemann-Finsler geometry, Springer-Verlag, New York (2000)
-
[3]
M. Matsumoto, Foundation of Finsler geometry and special Finsler space, Kaiseisha Press, Shigaken (1986)
-
[4]
R. Miron, M. Anastasiei, The geometry of Lagrange spaces: theory and application, Kluwer Academic Publishers Group, Dordrecht (1994)
-
[5]
L. Tamassy, Area and Metrical Connections in Finsler Space, in: Finsler geometry, A Meeting of Minds, 2000 (2000), 263--280
-
[6]
N. L. Youssef, S. H. Abed, A. Soleiman, A global approach to the theory of connections in Finsler geometry, Tensor (N.S.), 71 (2009), 187--208
-
[7]
E. Cartan, Les espaces de Finsler, Hermann, Paris (1934)
-
[8]
M. Matsumoto, The theory of Finsler Connections, Okayama University, Okayama (1970)
-
[9]
M. Hashinguchi, On determination of Finsler connection by deflection tensor fields, Rep. Fac. Sci. Kagoshima Univ., 2 (1969), 29--39
-
[10]
S.-I Hojo, On determination of generalized Cartan connection and fundamental functions of Finsler spaces, Tensor (N.S.), 35 (1981), 333--344