Cartan spaces with slope metric under \(h\)-metrical \(d\)-connection. (English) Zbl 1524.53160
Summary: This paper studies Cartan space with Matsumoto metric or slope metric under the effect of h-metrical d-connection. Then we deduce the conditions under which the Cartan space with slope metric becomes locally Minkowski and conformally flat.
MSC:
| 53C60 | Global differential geometry of Finsler spaces and generalizations (areal metrics) |
| 53C05 | Connections (general theory) |
| 53C07 | Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) |
| 53B40 | Local differential geometry of Finsler spaces and generalizations (areal metrics) |
| 53C42 | Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) |
| 53A04 | Curves in Euclidean and related spaces |
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