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- Title
Some Inequalities for Riemannian Submersions.
- Authors
Meriç, Semsi Eken; Gülbahar, Mehmet; Kılıç, Erol
- Abstract
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.
- Subjects
RIEMANNIAN manifolds; RIEMANNIAN submersions; DIFFERENTIAL geometry; RIEMANNIAN geometry; GEODESICS
- Publication
Analele Ştiinţifice ale Universităţii 'Al.I. Cuza' din Iaşi. Matematică, 2017, Vol 63, Issue 3, p1
- ISSN
1221-8421
- Publication type
Article