Inequalities on Riemannian Warped Product Submersions for Vertical Casorati Curvatures
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The first and second authors introduced Riemannian warped product submersions and discussed interesting fundamental geometric properties of such submersions in Kupeli Erken and Murathan,. In the present paper, we extend this study to put light on the curvature properties of such submersions and then obtain optimal inequalities for Riemannian warped product submersions involving vertical Casorati curvatures. Also, we discuss under which conditions the equality case of inequality can hold with an example.
Açıklama
Anahtar Kelimeler
Riemannian immersion, Riemannian submersion, warped product, vertical Casorati curvatures, Einstein manifold
Kaynak
Mediterranean Journal of Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
20
Sayı
2
