1. Connections of higher order and product preserving functors
- Creator:
- Gancarzewicz, Jacek, Rahmani, Noureddine, and Salgado, Modesto
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- connections of higher order, product preserving functors, and lifts of tensors and connections
- Language:
- English
- Description:
- In this paper we consider a product preserving functor $\mathcal F$ of order $r$ and a connection $\Gamma $ of order $r$ on a manifold $M$. We introduce horizontal lifts of tensor fields and linear connections from $M$ to $\mathcal F(M)$ with respect to $\Gamma $. Our definitions and results generalize the particular cases of the tangent bundle and the tangent bundle of higher order.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public