CONFORMAL CHANGES OF A RIZZA MANIFOLD WITH A GENERALIZED FINSLER STRUCTURE

Title & Authors
CONFORMAL CHANGES OF A RIZZA MANIFOLD WITH A GENERALIZED FINSLER STRUCTURE
Park, Hong-Suh; Lee, Il-Yong;

Abstract
We are devoted to dealing with the conformal theory of a Rizza manifold with a generalized Finsler metric $\small{G_{ij}}$ (x,y) and a new conformal invariant non-linear connection $\small{M^{i}}$ $\small{_{j}}$ (x,y) constructed from the generalized Cern`s non-linear connection $\small{N^{i}}$ $\small{_{j}}$ (x,y) and almost complex structure $\small{f^{i}}$ $\small{_{j}}$ (x). First, we find a conformal invariant connection ( $\small{M_{j}}$ $\small{^{i}}$ $\small{_{k}}$ , $\small{M^{i}}$ $\small{_{j}}$ , $\small{C_{j}}$ $\small{^{i}}$ $\small{_{k}}$ ) and conformal invariant tensors. Next, the nearly Kaehlerian (G, M)-structures under conformal change in a Rizza manifold are investigate.
Keywords
Rizza manifold;conformal invariant Finsler connection;generalized non-linear connection;generalized Finsler metric;conformal flat;nearly Kaehlerian (G, M)-structure;
Language
English
Cited by
References
1.
Publ. Math. Debrecen, vol.54. pp.165-179

2.
The theory of sprays and Finsler spaces with applications in physics and biology,

3.
An. Stiint. Univ. Al. I. Cuza Iasi, Sect. 1 a Mat. N. S., vol.30. 1, pp.69-73

4.
Riv. Mat. Univ. Parma, vol.14. 4, pp.1-28

5.
J. Math. Tokushima Univ., vol.25. pp.13-25

6.
Research Bull. Tokushima Bunri Univ., vol.57. pp.9-16

7.
Research Bull. Tokushima Bunri Univ., vol.59. pp.11-18

8.
Foundations of Finsler geometry and special Finsler spaces,

9.
Tensor N. S., vol.52. pp.243-248

10.
Proceedings of the 35th Symposium on Finsler Geometry, pp.36-39

11.
Atti Acad. Naz. Lincei Rend., vol.33. pp.271-275

12.
Riv. Mat. Univ. Parma, vol.4. 2, pp.83-106

13.
Differential geometry on complex and almost complex spaces,