Schouten and Vra?nceanu Connections on Golden Manifolds
Küçük Resim Yok
Tarih
2019
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
DergiPark
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we study two special linear connections, which are called Schouten and Vra?nceanu connections, defined by an arbitrary fixed linear connection on a differentiable manifold admitting a golden structure. The golden structure defines two naturally complementary projection operators splitting the tangent bundle into two complementary parts, so there are two globally complementary distributions of the tangent bundle. We examine the conditions of parallelism for both of the distributions with respect to the fixed linear connection under the assumption that it is either the Levi-Civita connection or is not. We investigate the concepts of half parallelism and anti half parallelism for each of the distributions with respect to the Schouten and Vra?nceanu connections. We research integrability conditions of the golden structure and its associated distributions from the viewpoint of the Schouten and Vra?nceanu connections. Finally, we analyze the notion of geodesicity on golden manifolds in terms of the Schouten and Vra?nceanu connections. © 2019
Açıklama
Anahtar Kelimeler
anti half parallelism, geodesic, golden structure, half parallelism, integrability, parallelism, Schouten connection, Vra?nceanu connection
Kaynak
International Electronic Journal of Geometry
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
12
Sayı
2
