We introduce anti-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and check the harmonicity of such submersions. We also find necessary and sufficient conditions for a Langrangian Riemannian submersion, a special anti-invariant Riemannian submersion, to be totally geodesic. Moreover, we obtain decomposition theorems for the total manifold of such submersions.
@article{bwmeta1.element.doi-10_2478_s11533-010-0023-6,
author = {Bayram Sahin},
title = {Anti-invariant Riemannian submersions from almost Hermitian manifolds},
journal = {Open Mathematics},
volume = {8},
year = {2010},
pages = {437-447},
zbl = {1207.53036},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0023-6}
}
Bayram Ṣahin. Anti-invariant Riemannian submersions from almost Hermitian manifolds. Open Mathematics, Tome 8 (2010) pp. 437-447. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0023-6/
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