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Linear Transformations of N-connections in OSC^2M(II)

Comic, Irena, and Purcaru, Monica, (2003) Linear Transformations of N-connections in OSC^2M(II). Bulletin of the Malaysian Mathematical Sciences Society, 26 (2). pp. 201-208. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v26n2/v26n2p6.pdf

Affiliations

University of Novi Sad, Faculty of Technical Sciences
"Transilvania" University of Brasov, Dept. of Geometry

Abstract

In the tangent space $T(E)$ and in its dual $T\ast(E)$, two different adapted basis was introduced, in another paper with the same title [10]. In the present paper are given the connections between $\hat{K}_\alpha_a^\gamma^c{}_\beta_b$ and ${K}_\alpha_a^\gamma^c{}_\beta_b$ between the torsions: $\hat{T}_\alpha_a^\gamma^c{}_\beta_b$ and ${T}_\alpha_a^\gamma^c{}_\beta_b$ and the components of the metric tensor $\hat{g}_\alpha_a^{ }_\beta_b$ and ${g}_\alpha_a^{ }_\beta_b$.

Item Type:Journal
Keywords:osculator bundle, adapted basis, generalized connection, torsion, metric tensor.
Subjects:Q Science, Computer Science
ID Code:1194

1. Comic, Irena Different adapted basis and metrical generalized connections, Novi Sad J. Math. 27, 1(1997), 117-132.

2. Comic, Irena Gh. Atanasiu, and E. Stoica, The generalized connections in Osc^3M, Annales Univ. Sci. Budapest 41(1998), 39-54.

3. M. Matsumoto, M., The Theory of Finsler Connections, Publ. Study Group Geom. 5, Depart. Math., Okayama Univ., 1970.

4. M. Matsumoto, Foundations of Finsler Geometry and Special Finsler Spaces, Kaiseisha Press, Otsu, Japan, 1986.

5. R. Miron and M. Anastasiei, Geometry of Lagrange Spaces, Theory and Applications, Kluwer Academic Publishers, 1993.

6. R. Miron, The Geometry of Higher Order Lagrange Spaces, Applications to Mechanics and Physics, Kluwer Academic Publishers, FTPH 82, 1997.

7. R. Miron and Gh. Atanasiu, Differential geometry of the k-Osculator bundle, Rev. Roumaine Math. Pures Appl. 41, 3/4(1996), 205-236.

8. R. Miron and Gh. Atanasiu, Higher-order Lagrange spaces, Rev. Roumaine Math. Pures Appl. 41, 3/4(1996), 251-263.

9. R. Miron and M. Hashiguchi, Metrical Finsler connections, Rep. Mat. Sci., Kagoshima Univ. (Math., Phys. & Chem.) 12(1979), 21-35.

10. Comic, Irena and Purcaru, Monica. Linear transformation of N-Connection in Osc^2M, Differential Geometry and Dynamical Systems (electronic journal), http://www.mathem.pub.ro/apps/v2n1.ltm, 2(1)(2000), 18-31.

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