Remarks on \(F\)-planar curves and their generalizations. (English) Zbl 1244.53016
Abramov, Viktor (ed.) et al., Algebra, geometry and mathematical physics. Selected papers based on the presentations at the V Baltic-Nordic workshop on algebra, geometry and mathematical physics, Będlewo, Poland, October 12–16, 2009. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-12-6/pbk). Banach Center Publications 93, 241-249 (2011).
Summary: Generalized planar curves \((A\)-curves) are more general analogues of \(F\)-planar curves and geodesies. In particular, several well known geometries are described by more than one affinor The best known example is the almost quaternionic geometry. A new approach to this topic \((A\)-structures) was started in our earlier papers. In this paper we expand the concept of \(A\)-structures to projective \(A\)-structures.
For the entire collection see [Zbl 1230.53004].
For the entire collection see [Zbl 1230.53004].
MSC:
| 53B10 | Projective connections |
| 53B05 | Linear and affine connections |
| 53C22 | Geodesics in global differential geometry |
