Article detail · 2013
Semi invariant Submersions from Almost Hermitian Manifolds
- Year
- 2013
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue Canadian Mathematical Bulletin
- Catalog match (ISSN) Canadian Mathematical Bulletin
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
Abstract We introduce semi-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations that arise from the definition of a Riemannian submersion, and find necessary sufficient conditions for total manifold to be a locally product Riemannian manifold. We also find necessary and sufficient conditions for a semi-invariant submersion to be totally geodesic. Moreover, we obtain a classification for semiinvariant submersions with totally umbilical fibers and show that such submersions put some restrictions on total manifolds.
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Citations
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107 citations
OpenAlex cited_by_count (cache / database)
48 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- RIEMANNIAN SUBMERSIONS FROM ALMOST HERMITIAN MANIFOLDS 2013
- Conformal semi-slant submersions 2017
- ON SLANT RIEMANNIAN SUBMERSIONS FOR COSYMPLECTIC MANIFOLDS 2014
- Semi-invariant ξ⊥-Riemannian submersions from almost contact metric manifolds 2017
- Semi-invariant \xi{\perp}-Riemannian submersions from almost contact metric manifolds 2017
- Anti invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds 2015
- Semi invariant Riemannian maps from almost Hermitian manifolds 2012
- Anti invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds 2016
- Anti invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds 2016
- Semi-Slant Submersions from Almost Product Riemannian Manifolds 2016