Abstract
This chapter reviews the main topics of the geometry of pseudo-Finsler manifolds. It gives the basic background needed in the rest of the book. Here, we use the vertical vector bundle to develop a Finsler tensorial calculus. We define the main geometric objects necessary for the study of Finsler geometry. In particular, we describe in detail the Berwald, Cartan, and Rund connections. Finally, we give a new setting for pseudo-Finsler manifolds of constant curvature and present some special pseudo-Finsler manifolds.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
