Conformally parallel Spin(7) structures on solvmanifolds

Selman UĞUZ

Makale detayları

Conformally parallel Spin(7) structures on solvmanifolds

Yazarlar:

Selman UĞUZ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2014 Vol.38 Issue 1, pp.166-178

Belge Tipi:

Makale

Yayın Tarihi:

5/2014

Belge Dili:

Türkçe

Document ID (Org No.):

2000747453

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

In this paper we review the Spin(7) geometry in relation to solvmanifolds. Starting from a 7-dimensional nilpotent Lie group N endowed with an invariant G2 structure, we present an example of a homogeneous conformally parallel Spin(7) metric on an associated solvmanifold. It is thought that this paper could lead to very interesting and exciting areas of research and new results in the direction of (locally conformally) parallel Spin(7) structures.

 

In this paper we review the Spin(7) geometry in relation to solvmanifolds. Starting from a 7-dimensional nilpotent Lie group N endowed with an invariant G2 structure, we present an example of a homogeneous conformally parallel Spin(7) metric on an associated solvmanifold. It is thought that this paper could lead to very interesting and exciting areas of research and new results in the direction of (locally conformally) parallel Spin(7) structures.

Makale detayları

Conformally parallel Spin(7) structures on solvmanifolds

Yazarlar:

Selman UĞUZ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2014 Vol.38 Issue 1, pp.166-178

Belge Tipi:

Makale

Yayın Tarihi:

5/2014

Belge Dili:

Türkçe

Document ID (Org No.):

2000747453

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Holonomy

G2 and Spin(7) manifolds

conformally parallel structures

solvmanifolds

Sayı

Makale detayları

Conformally parallel Spin(7) structures on solvmanifolds

Yazarlar: Selman UĞUZ

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2014 Vol.38 Issue 1, pp.166-178

Belge Tipi: Makale

Yayın Tarihi: 5/2014

Belge Dili: Türkçe

Document ID (Org No.): 2000747453

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Holonomy

G2 and Spin(7) manifolds

conformally parallel structures

solvmanifolds

Sayı

Yazarlar:

Selman UĞUZ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2014 Vol.38 Issue 1, pp.166-178

Belge Tipi:

Makale

Yayın Tarihi:

5/2014

Belge Dili:

Türkçe

Document ID (Org No.):

2000747453

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098