Remarks on $F$-planar curves and their generalizations
Volume 93 / 2011
Banach Center Publications 93 (2011), 241-249
MSC: Primary 53B10; Secondary 53B05, 57N16.
DOI: 10.4064/bc93-0-19
Abstract
Generalized planar curves ($A$-curves) are more general analogues of $F$-planar curves and geodesics. 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.