Geometry of almost Cliffordian manifolds: classes of subordinated connections

Jaroslav HRDINA; Petr VASÍK

Makale detayları

Geometry of almost Cliffordian manifolds: classes of subordinated connections

Yazarlar:

Jaroslav HRDINA | Petr VASÍK

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2014 Vol.38 Issue 1, pp.179-190

Belge Tipi:

Makale

Yayın Tarihi:

5/2014

Belge Dili:

Türkçe

Document ID (Org No.):

2000747455

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

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.

 

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.

Makale detayları

Geometry of almost Cliffordian manifolds: classes of subordinated connections

Yazarlar:

Jaroslav HRDINA | Petr VASÍK

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2014 Vol.38 Issue 1, pp.179-190

Belge Tipi:

Makale

Yayın Tarihi:

5/2014

Belge Dili:

Türkçe

Document ID (Org No.):

2000747455

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Clifford algebra

affinor structure

G--structure

linear connection

planar curves

Sayı

Makale detayları

Geometry of almost Cliffordian manifolds: classes of subordinated connections

Yazarlar: Jaroslav HRDINA | Petr VASÍK

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2014 Vol.38 Issue 1, pp.179-190

Belge Tipi: Makale

Yayın Tarihi: 5/2014

Belge Dili: Türkçe

Document ID (Org No.): 2000747455

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Clifford algebra

affinor structure

G--structure

linear connection

planar curves

Sayı

Yazarlar:

Jaroslav HRDINA | Petr VASÍK

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2014 Vol.38 Issue 1, pp.179-190

Belge Tipi:

Makale

Yayın Tarihi:

5/2014

Belge Dili:

Türkçe

Document ID (Org No.):

2000747455

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098