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- Title
SEMI-INVARIANT SEMI-RIEMANNIAN SUBMERSIONS.
- Authors
AKYOL, MEHMET AKIF; GÜNDÜZALP, YILMAZ
- Abstract
In this paper, we introduce semi-invariant semi-Riemannian submersions from para-Kähler manifolds onto semi-Riemannian manifolds. We give some examples, investigate the geometry of foliations that arise from the definition of a semi-Riemannian submersion and check the harmonicity of such submersions. We also foind necessary and sufficient conditions for a semi- invariant semi-Riemannian submersion to be totally geodesic. Moreover, we obtain curvature relations between the base manifold and the total manifold.
- Subjects
RIEMANNIAN submersions; MANIFOLDS (Mathematics); GEOMETRY; GRAPHICAL projection; GEODESIC equation
- Publication
Communications Series A1 Mathematics & Statistics, 2017, Vol 67, Issue 1, p80
- ISSN
1303-5991
- Publication type
Article
- DOI
10.1501/Commua1_0000000832