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Displaying similar documents to “Variational calculus on sub-Riemannian manifolds.”

H-anti-invariant submersions from almost quaternionic Hermitian manifolds

Kwang-Soon Park (2017)

Czechoslovak Mathematical Journal

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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...