Geodesic
Semi-invariant Submersions from Almost Hermitian Manifolds
Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 173-183

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DOI

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 semi-invariant submersions with totally umbilical fibers and show that such submersions put some restrictions on total manifolds.
DOI : 10.4153/CMB-2011-144-8
Mots-clés : 53B20, 53C43, Riemannian submersion, Hermitian manifold, anti-invariant Riemannian submersion, semi-invariant submersion 
Ṣahin, Bayram. Semi-invariant Submersions from Almost Hermitian Manifolds. Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 173-183. doi: 10.4153/CMB-2011-144-8
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     author = {Ṣahin, Bayram},
     title = {Semi-invariant {Submersions} from {Almost} {Hermitian} {Manifolds}},
     journal = {Canadian mathematical bulletin},
     pages = {173--183},
     year = {2013},
     volume = {56},
     number = {1},
     doi = {10.4153/CMB-2011-144-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-144-8/}
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