Isotropic Riemannian submersions
Makaleler > Tam Makale · 2020
Yazarlar: Feyza Esra Erdogan, Bayram ŞAHİN
TURKISH JOURNAL OF MATHEMATICS, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2020, cilt 44, ss 2284-2296
DOI: 10.3906/mat-1911-82
Özet
In this paper, we present the notion of isotropic submersions between Riemannian manifolds. We first give examples to illustrate this new notion. Then we express a characterization in terms of O'Neill's tensor field T and examine certain relations between sectional curvatures of the total manifold and the base manifold. We also study lambda-isotropic submersions with pointwise planar horizontal sections.