Linear Connections on Light-like Manifolds

T. DERELİ

Makale detayları

Linear Connections on Light-like Manifolds

Yazarlar:

T. DERELİ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2008 Vol.32 Issue 1, pp.41-49

Belge Tipi:

Makale

Yayın Tarihi:

12/2007

Belge Dili:

Türkçe

Document ID (Org No.):

2000748366

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

It is well-known that a torsion-free linear connection on a  light-like manifold (M,g) compatible with the degenerate metric g  exists if and only if Rad(TM) is a Killing distribution.  In case of  existence, there is an infinitude of connections with none  distinguished.  We propose a method to single out connections with the  help of a special set of 1-forms by the condition that the 1-forms  become parallel with respect to this connection.  Such sets of 1-forms  could be regarded as an additional structure imposed upon the  light-like manifold.  We consider also connections with torsion and  with non-metricity on light-like manifolds.

 

It is well-known that a torsion-free linear connection on a  light-like manifold (M,g) compatible with the degenerate metric g  exists if and only if Rad(TM) is a Killing distribution.  In case of  existence, there is an infinitude of connections with none  distinguished.  We propose a method to single out connections with the  help of a special set of 1-forms by the condition that the 1-forms  become parallel with respect to this connection.  Such sets of 1-forms  could be regarded as an additional structure imposed upon the  light-like manifold.  We consider also connections with torsion and  with non-metricity on light-like manifolds.

Makale detayları

Linear Connections on Light-like Manifolds

Yazarlar:

T. DERELİ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2008 Vol.32 Issue 1, pp.41-49

Belge Tipi:

Makale

Yayın Tarihi:

12/2007

Belge Dili:

Türkçe

Document ID (Org No.):

2000748366

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Turk. J. Math.

32

(2008)

41-49. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.32

iss.1.

Sayı

Makale detayları

Linear Connections on Light-like Manifolds

Yazarlar: T. DERELİ

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2008 Vol.32 Issue 1, pp.41-49

Belge Tipi: Makale

Yayın Tarihi: 12/2007

Belge Dili: Türkçe

Document ID (Org No.): 2000748366

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Turk. J. Math.

32

(2008)

41-49. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.32

iss.1.

Sayı

Yazarlar:

T. DERELİ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2008 Vol.32 Issue 1, pp.41-49

Belge Tipi:

Makale

Yayın Tarihi:

12/2007

Belge Dili:

Türkçe

Document ID (Org No.):

2000748366

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098