Geometry of almost Cliffordian manifolds: classes of subordinated connections

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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.

Anahtar Kelimeler:

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

Geometry of almost Cliffordian manifolds: classes of subordinated connections

Keywords:

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

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