On a generalization of geodesic and magnetic curves. (English) Zbl 1396.53066
Very recently, in [Filomat 29, No. 10, 2367–2379 (2015; Zbl 1474.53056)] the authors gave a slight modification of the notion of \(F\)-planar curve to so-called \(F\)-geodesic.
Now they propose the notion of \((F,H)\)-geodesic on a manifold endowed with a linear connection and two \((1,1)\)-tensor fields \(F\) and \(H\). Moreover, they establish the relation between two symmetric connections having the same system of \((F,H)\)-geodesics (see Theorem 2.4).
Now they propose the notion of \((F,H)\)-geodesic on a manifold endowed with a linear connection and two \((1,1)\)-tensor fields \(F\) and \(H\). Moreover, they establish the relation between two symmetric connections having the same system of \((F,H)\)-geodesics (see Theorem 2.4).
Reviewer: Bożena Piątek (Gliwice)
MSC:
| 53C22 | Geodesics in global differential geometry |
| 53B05 | Linear and affine connections |
| 53C15 | General geometric structures on manifolds (almost complex, almost product structures, etc.) |
Citations:
Zbl 1474.53056References:
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