Geometry of almost Cliffordian manifolds: classes of subordinated connections

Článek WoS

en

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=2s+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.

Clifford algebra, affinor structure, G--structure, linear connection, planar curves

2014-01-08

1300-0098

TURKISH JOURNAL OF MATHEMATICS

38

1

179–190

12