Fibred spaces and non-linear connections |
| |
Authors: | Kentaro Yano Tanjiro Okubo |
| |
Affiliation: | (1) University of Hong-Kong, China;(2) Washington State University, USA |
| |
Abstract: | Summary We give the fibre structure to the two complementary distributions, one being holomonic and the other being in general non-holomonic, by assigning the structure preserving transformations of the coordinates and of the frames. By the conversion from such fibred spaces we derive the spaces of non-linear connections as their image, in which we point out that the usual conditions imposed on Ckji and the covariant differentiation of gji in the metric spaces of non-linear connections can be interpreted respectively as the parallel and isometric conditions imposed on the fibre of the corresponding fibred Riemannian spaces. To Enrico Bompiani on his scientific Jubilee. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|