Notes on riemannian maps
Makaleler > Tam Makale · 2017
Yazarlar: Bayram ŞAHİN
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Scopus, 2017, cilt 79, ss 131-138
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.