Schouten and Vr?anceanu Connections on Golden Manifolds
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we study two special linear connections, which are called Schouten and Vr?anceanuconnections, defined by an arbitrary fixed linear connection on a differentiable manifoldadmitting a golden structure. The golden structure defines two naturally complementary projectionoperators splitting the tangent bundle into two complementary parts, so there are two globallycomplementary distributions of the tangent bundle. We examine the conditions of parallelismfor both of the distributions with respect to the fixed linear connection under the assumptionthat it is either the Levi-Civita connection or is not. We investigate the concepts of halfparallelism and anti half parallelism for each of the distributions with respect to the Schoutenand Vr?anceanu connections. We research integrability conditions of the golden structure and itsassociated distributions from the viewpoint of the Schouten and Vr?anceanu connections. Finally,we analyze the notion of geodesicity on golden manifolds in terms of the Schouten and Vr?anceanuconnections.
Açıklama
Anahtar Kelimeler
Kaynak
International Electronic Journal of Geometry
WoS Q Değeri
Scopus Q Değeri
Cilt
12
Sayı
2
