On linearly \(pF\)-planar mappings. (English) Zbl 1114.53012

Bureš, Jarolím (ed.) et al., Differential geometry and its applications. Proceedings of the 9th international conference on differential geometry and its applications, DGA 2004, Prague, Czech Republic, August 30–September 3, 2004. Prague: matfyzpress (ISBN 80-86732-63-0/pbk). 349-355 (2005).
In the paper under review, the authors study linearly \(pF\)-planar mappings of \(n\)-dimensional spaces \(A_n\) with a torsion-free affine connection and with an affinor structure \(F\), for which \(F^{p+1}= 0\). These mappings are certain generalizations of geodesic, holomorphically projective and \(F\)-planar mappings. The authors investigate also general aspects of linearly \(pF\)-planar mappings.
For the entire collection see [Zbl 1097.53001].


53B05 Linear and affine connections
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)