Notes on riemannian maps

Küçük Resim Yok

Tarih

2017

Yazarlar

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Politechnica University of Bucharest

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, we first find necessary and sufficient conditions for the total space of a Riemannian map to be an Einstein manifold and then we obtain various inequalities in terms of the scalar curvatures of the base space, fibers and images. In the equality cases of those inequalities, we obtain harmonicity and totally geodesicity of such maps.

Açıklama

Anahtar Kelimeler

Einstein manifold, Generalized divergence theorem, Harmonic map, Riemannian map, Totally geodesic map

Kaynak

UPB Scientific Bulletin, Series A: Applied Mathematics and Physics

WoS Q Değeri

Scopus Q Değeri

Q3

Cilt

79

Sayı

3

Künye