Mathematics – Differential Geometry
Scientific paper
2003-04-04
Mathematics
Differential Geometry
22 pages + title page, 2 eps figures, 1 LaTeX picture
Scientific paper
The main purposes of this article are to extend our previous results on homogeneous sprays to arbitrary (generalized) sprays, to show that locally diffeomorphic exponential maps can be defined for any (generalized) spray, and to give a (possibly nonlinear) covariant derivative for any (possibly nonlinear) connection. In the process, we introduce vertically homogeneous connections. Unlike homogeneous connections, these allow us to include Finsler spaces among the applications. We provide significant support for the prospect of studying nonlinear connections via (generalized) sprays. One of the most important is our generalized APS correspondence.
Parker Phillip. E.
Riego Del L.
No associations
LandOfFree
Generalized Sprays and Nonlinear Connections does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Generalized Sprays and Nonlinear Connections, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Sprays and Nonlinear Connections will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-143444