Publication detail
Geometry of almost Cliffordian manifolds: classes of subordinated connections
HRDINA, J. VAŠÍK, P.
Original Title
Geometry of almost Cliffordian manifolds: classes of subordinated connections
Type
journal article in Web of Science
Language
English
Original 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=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.
Keywords
Clifford algebra, affinor structure, G--structure, linear connection, planar curves
Authors
HRDINA, J.; VAŠÍK, P.
RIV year
2014
Released
8. 1. 2014
ISBN
1300-0098
Periodical
TURKISH JOURNAL OF MATHEMATICS
Year of study
38
Number
1
State
Republic of Turkey
Pages from
179
Pages to
190
Pages count
12
BibTex
@article{BUT104924,
author="Jaroslav {Hrdina} and Petr {Vašík}",
title="Geometry of almost Cliffordian manifolds: classes of subordinated connections",
journal="TURKISH JOURNAL OF MATHEMATICS",
year="2014",
volume="38",
number="1",
pages="179--190",
doi="10.3906/mat-1206-40",
issn="1300-0098"
}