Turkish Journal of Mathematics
Abstract
An almost Clifford and an almost Cliffordian manifold is a G--structure based on the definition of Clifford algebras. An almost Clifford manifold based on O:= Cl (s,t) is given by a reduction of the structure group GL(km, R) to GL(m, O), where k=2^{s+t} and m \in N. An almost Cliffordian manifold is given by a reduction of the structure group to GL(m, O) GL(1, O). We prove that an almost Clifford manifold based on O is such that there exists a unique subordinated connection, while the case of an almost Cliffordian manifold based on O is more rich. A class of distinguished connections in this case is described explicitly.
DOI
10.3906/mat-1206-40
Keywords
Clifford algebra, affinor structure, G--structure, linear connection, planar curves
First Page
179
Last Page
190
Recommended Citation
HRDINA, J, & VASIK, P (2014). Geometry of almost Cliffordian manifolds: classes of subordinated connections. Turkish Journal of Mathematics 38 (1): 179-190. https://doi.org/10.3906/mat-1206-40
