Park, Kwang-Soon H-anti-invariant submersions from almost quaternionic Hermitian manifolds. (English) Zbl 1458.53039 Czech. Math. J. 67, No. 2, 557-578 (2017). Summary: 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. Cited in 6 Documents MSC: 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C26 Hyper-Kähler and quaternionic Kähler geometry, “special” geometry Keywords:Riemannian submersion; Lagrangian Riemannian submersion; decomposition theorem; totally geodesic PDFBibTeX XMLCite \textit{K.-S. Park}, Czech. Math. J. 67, No. 2, 557--578 (2017; Zbl 1458.53039) Full Text: DOI arXiv