Some inequalities for riemannian submersions
Küçük Resim Yok
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Sciendo
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we start by studying the scalar curvature of two Riemannian manifolds admitting a Riemannian submersion. We establish a series of inequalities for Riemannian submersions. By using these inequalities, we derive several characterizations for Riemannian submersions. We show that the necessary conditions for a Riemannian submersion to be harmonic is to either have totally geodesic fibres or integrable horizontal distribution. © 2018, Universitatii Al.I.Cuza din Iasi. All rights reserved.
Açıklama
Anahtar Kelimeler
Curvature, Harmonic map, Riemannian submersion
Kaynak
Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
63
Sayı
F3