On Horizontal Recurrent Finsler Connections
Differential Geometry
2017-06-26 v2
Abstract
In this paper we adopt the pullback approach to global Finsler geometry. We investigate horizontally recurrent Finsler connections. We prove that for each scalar ()1-form , there exists a unique horizontally recurrent Finsler connection whose -recurrence form is . This result generalizes the existence and uniqueness theorem of Cartan connection. We then study some properties of a special kind of horizontally recurrent Finsler connection, which we call special HRF-connection.
Keywords
Cite
@article{arxiv.1706.06079,
title = {On Horizontal Recurrent Finsler Connections},
author = {Nabil L. Youssef and A. Soleiman},
journal= {arXiv preprint arXiv:1706.06079},
year = {2017}
}
Comments
10 peges, LaTeX file, Few typos corrected, References added