ON THE BEHAVIOUR OF TOTAL UMBILICAL FIBERS UNDER QUARTER-SYMMETRIC NON-METRIC CONNECTIONS IN RIEMANNIAN SUBMERSIONS
Küçük Resim Yok
Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Editura Bibliotheca-Bibliotheca Publ House
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, we investigate the geometric properties of Riemannian submersions endowed with quarter-symmetric non-metric connections. We focus specifically on the M-projective curvature tensor and the conformal curvature tensor, providing an analysis of the behaviour of these tensors. We emphasize how these curvature tensors interact with totally umbilical fibers in the setting of Riemannian submersions. We explicitly compute the relevant curvature tensors and examine how the totally umbilical condition influences their relations. This clarifies the connections among the tensors and shows how they affect the geometric structure of the submersions.
Açıklama
Anahtar Kelimeler
M-projective curvature tensor, conformal curvature tensor, Riemannian submersion, Quarter-symmetric non-metric connection, totally umbilical fibers
Kaynak
Journal of Science and Arts
WoS Q Değeri
Q4
Scopus Q Değeri
Cilt
Sayı
4
