Foliations and a class of metrics on tangent bundle

Esmaeil PEYGHAN; Leila NOURMOHAMMADI FAR

Makale detayları

Foliations and a class of metrics on tangent bundle

Yazarlar:

Esmaeil PEYGHAN | Leila NOURMOHAMMADI FAR

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2013 Vol.37 Issue 2, pp.348-359

Belge Tipi:

Makale

Yayın Tarihi:

1/2013

Belge Dili:

Türkçe

Document ID (Org No.):

2000747672

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

Let M be a smooth manifold with Finsler metric F, and let  TM° be the slit tangent bundle of M with a generalized Riemannian  metric G, which is induced by F. In this paper, we extract many  natural foliations of (TM°,G) and study some of their geometric  properties.  Next we use this approach to obtain new characterizations of Finsler manifolds with positive constant curvature.

 

Let M be a smooth manifold with Finsler metric F, and let  TM° be the slit tangent bundle of M with a generalized Riemannian  metric G, which is induced by F. In this paper, we extract many  natural foliations of (TM°,G) and study some of their geometric  properties.  Next we use this approach to obtain new characterizations of Finsler manifolds with positive constant curvature.

Makale detayları

Foliations and a class of metrics on tangent bundle

Yazarlar: Esmaeil PEYGHAN | Leila NOURMOHAMMADI FAR

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2013 Vol.37 Issue 2, pp.348-359

Belge Tipi: Makale

Yayın Tarihi: 1/2013

Belge Dili: Türkçe

Document ID (Org No.): 2000747672

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Finsler manifold

foliation

constant curvature

Riemannian metric

Sayı

Yazarlar:

Esmaeil PEYGHAN | Leila NOURMOHAMMADI FAR

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2013 Vol.37 Issue 2, pp.348-359

Belge Tipi:

Makale

Yayın Tarihi:

1/2013

Belge Dili:

Türkçe

Document ID (Org No.):

2000747672

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098