Some inequalities for riemannian submersions

Küçük Resim Yok

Tarih

2017

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

Künye