Geodesic
H-anti-invariant submersions from almost quaternionic Hermitian manifolds
Czechoslovak Mathematical Journal, Tome 67 (2017) no. 2, pp. 557-578.

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As a generalization of anti-invariant Riemannian submersions and Lagrangian Riemannian submersions, we introduce the notions of h-anti-invariant submersions and h-Lagrangian submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds. We obtain characterizations and investigate some properties: the integrability of distributions, the geometry of foliations, and the harmonicity of such maps. We also find a condition for such maps to be totally geodesic and give some examples of such maps. Finally, we obtain some types of decomposition theorems.
DOI : 10.21136/CMJ.2017.0143-16
Classification : 53C15, 53C26
Keywords: Riemannian submersion; Lagrangian Riemannian submersion; decomposition theorem; totally geodesic 
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     title = {H-anti-invariant submersions from almost quaternionic {Hermitian} manifolds},
     journal = {Czechoslovak Mathematical Journal},
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Park, Kwang-Soon. H-anti-invariant submersions from almost quaternionic Hermitian manifolds. Czechoslovak Mathematical Journal, Tome 67 (2017) no. 2, pp. 557-578. doi : 10.21136/CMJ.2017.0143-16. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0143-16/

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