Abstract
In the present chapter we develop a general theory of pseudo-Finsler submanifolds using the vertical vector bundle. First, we consider an arbitrary Finsler connection on the ambient pseudo-Finsler manifold \({\tilde F^{m + n}}\) and study the induced geometric objects on the pseudo-Finsler submanifold \({F^m}\). In particular, we deduce the equations of Gauss, Codazzi, and Ricci for \({F^m}\) in \({\tilde F^{m + n}}\). Finally, we present a comparison between the induced and intrinsic Finsler connections in each of the cases of Cartan, Berwald, and Rund connections.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Bejancu, A., Farran, H.R. (2000). Pseudo-Finsler Submanifolds. In: Geometry of Pseudo-Finsler Submanifolds. Mathematics and Its Applications, vol 527. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9417-2_2
Download citation
DOI: https://doi.org/10.1007/978-94-015-9417-2_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5601-6
Online ISBN: 978-94-015-9417-2
eBook Packages: Springer Book Archive