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arXiv · 1507.04473

H-anti-invariant submersions from almost quaternionic Hermitian manifolds

Kwang-Soon Park
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Abstract

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.

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Kwang-Soon Park. 2015-07-16. H-anti-invariant submersions from almost quaternionic Hermitian manifolds. https://arxiv.org/abs/1507.04473

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