RIEMANNIAN SUBMERSIONS FROM RIEMANN SOLITONS
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Math Soc Serbia-Drustvo Matematicara Srbije
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the present paper, we study a Riemannian submersion pi from a Riemann soliton (M1, g,xi, lambda) onto a Riemannian manifold (M2, g ' ). We first calculate the sectional curvatures of any fibre of pi and the base manifold M2. Using them, we give some necessary and sufficient conditions for which the Riemann soliton (M1, g, xi, lambda) is shrinking, steady or expanding. Also, we deal with the potential field xi of such a Riemann soliton is conformal and obtain some characterizations about the extrinsic vertical and horizontal sectional curvatures of pi.
Açıklama
Anahtar Kelimeler
Riemannian submersion, Riemann soliton, sectional curvature.
Kaynak
Matematicki Vesnik
WoS Q Değeri
Q4
Scopus Q Değeri
Q4
Cilt
76
Sayı
4
