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