✦ LIBER ✦
Deviation operator and deviation equations over spaces with affine connections and metrics
✍ Scribed by S. Manoff
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 113 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0393-0440
No coin nor oath required. For personal study only.
✦ Synopsis
The notion of deviation operator over spaces with affine connection (L n -spaces) is introduced and its applications to deviation equations is considered. On the basis of a deviation identity, by means of sufficient or necessary and sufficient conditions, different deviation equations are obtained and considered. It is shown that the deviation equation for auto-parallel trajectories in L n -spaces (geodesics in V n -spaces) allows also other solutions than the well-known solutions for auto-parallel (geodesic) trajectories.