INFINITESIMAL AFFINE TRANSFORMATIONS IN THE TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD WITH RESPECT TO THE HORIZONTAL LIFT OF AN AFFINE CONNECTION

A. Gezer; K. Akbulut

Araştırma Makalesi

INFINITESIMAL AFFINE TRANSFORMATIONS IN THE TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD WITH RESPECT TO THE HORIZONTAL LIFT OF AN AFFINE CONNECTION

Yıl 2006, Cilt: 35 Sayı: 2, 155 - 159, 01.02.2006

Öz

The main purpose of the present paper is to study properties of vertical infinitesimal affine transformation in the tangent bundle of a Riemannian manifold with respect to the horizontal lift of an affine connection, and to apply the results obtained to the study of fibre-preserving infinitesimal affine transformations in this setting.

Anahtar Kelimeler

Lift, Tangent bundle, Infinitesimal affine transformation, Fibre-preserving transformation

Kaynakça

Yano K. and Ishihara, S. Tangent and cotangent bundles (Marcel Dekker, New York, 1973).
Magden A. and Salimov, A. A. Horizontal lifts of tensor fields to sections of the tangent bundle. (in Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 3, 77–80, 2001.
Kobayashi S. and Nomizu K. Foundations of Differential Geometry (Wiley-Inter Science Publications, New York, 1963).

INFINITESIMAL AFFINE TRANSFORMATIONS IN THE TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD WITH RESPECT TO THE HORIZONTAL LIFT OF AN AFFINE CONNECTION

Yıl 2006, Cilt: 35 Sayı: 2, 155 - 159, 01.02.2006

A. Gezer K. Akbulut

Öz

Kaynakça

Yano K. and Ishihara, S. Tangent and cotangent bundles (Marcel Dekker, New York, 1973).
Magden A. and Salimov, A. A. Horizontal lifts of tensor fields to sections of the tangent bundle. (in Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 3, 77–80, 2001.
Kobayashi S. and Nomizu K. Foundations of Differential Geometry (Wiley-Inter Science Publications, New York, 1963).

Toplam 3 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Konular	İstatistik
Bölüm	Matematik
Yazarlar	A. Gezer Bu kişi benim K. Akbulut Bu kişi benim
Yayımlanma Tarihi	1 Şubat 2006
Yayımlandığı Sayı	Yıl 2006 Cilt: 35 Sayı: 2

Kaynak Göster

APA	Gezer, A., & Akbulut, K. (2006). INFINITESIMAL AFFINE TRANSFORMATIONS IN THE TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD WITH RESPECT TO THE HORIZONTAL LIFT OF AN AFFINE CONNECTION. Hacettepe Journal of Mathematics and Statistics, 35(2), 155-159.
AMA	Gezer A, Akbulut K. INFINITESIMAL AFFINE TRANSFORMATIONS IN THE TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD WITH RESPECT TO THE HORIZONTAL LIFT OF AN AFFINE CONNECTION. Hacettepe Journal of Mathematics and Statistics. Şubat 2006;35(2):155-159.
Chicago	Gezer, A., ve K. Akbulut. “INFINITESIMAL AFFINE TRANSFORMATIONS IN THE TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD WITH RESPECT TO THE HORIZONTAL LIFT OF AN AFFINE CONNECTION”. Hacettepe Journal of Mathematics and Statistics 35, sy. 2 (Şubat 2006): 155-59.
EndNote	Gezer A, Akbulut K (01 Şubat 2006) INFINITESIMAL AFFINE TRANSFORMATIONS IN THE TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD WITH RESPECT TO THE HORIZONTAL LIFT OF AN AFFINE CONNECTION. Hacettepe Journal of Mathematics and Statistics 35 2 155–159.
IEEE	A. Gezer ve K. Akbulut, “INFINITESIMAL AFFINE TRANSFORMATIONS IN THE TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD WITH RESPECT TO THE HORIZONTAL LIFT OF AN AFFINE CONNECTION”, Hacettepe Journal of Mathematics and Statistics, c. 35, sy. 2, ss. 155–159, 2006.
ISNAD	Gezer, A. - Akbulut, K. “INFINITESIMAL AFFINE TRANSFORMATIONS IN THE TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD WITH RESPECT TO THE HORIZONTAL LIFT OF AN AFFINE CONNECTION”. Hacettepe Journal of Mathematics and Statistics 35/2 (Şubat 2006), 155-159.
JAMA	Gezer A, Akbulut K. INFINITESIMAL AFFINE TRANSFORMATIONS IN THE TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD WITH RESPECT TO THE HORIZONTAL LIFT OF AN AFFINE CONNECTION. Hacettepe Journal of Mathematics and Statistics. 2006;35:155–159.
MLA	Gezer, A. ve K. Akbulut. “INFINITESIMAL AFFINE TRANSFORMATIONS IN THE TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD WITH RESPECT TO THE HORIZONTAL LIFT OF AN AFFINE CONNECTION”. Hacettepe Journal of Mathematics and Statistics, c. 35, sy. 2, 2006, ss. 155-9.
Vancouver	Gezer A, Akbulut K. INFINITESIMAL AFFINE TRANSFORMATIONS IN THE TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD WITH RESPECT TO THE HORIZONTAL LIFT OF AN AFFINE CONNECTION. Hacettepe Journal of Mathematics and Statistics. 2006;35(2):155-9.