New Curvature Tensors along Riemannian Submersions
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 1966, B. O’Neill [The fundamental equations of a submersion, Michigan Math. J., Volume 13, Issue 4 (1966), 459-469.] obtained some fundamental equations and curvature relations between the total space, the base space and the fibres of a submersion. In the present paper, we define new curvature tensors along Riemannian submersions such as Weyl projective curvature tensor, concircular curvature tensor, conharmonic curvature tensor, conformal curvature tensor and M?projective curvature tensor, respectively. Finally, we obtain some results in case of the total space of Riemannian submersions has umbilical fibres for any curvature tensors mentioned by the above.
Açıklama
Anahtar Kelimeler
Riemannian submersion, Weyl projective curvature tensor, M-projective curvature tensor, concircular curvature tensor, conformal curvature tensor, conharmonic curvature tensor.
Kaynak
Miskolc Mathematical Notes
WoS Q Değeri
Scopus Q Değeri
Cilt
3
Sayı
24
