Czechoslovak Mathematical Journal, Vol. 67, No. 2, pp. 557-578, 2017


H-anti-invariant submersions from almost quaternionic Hermitian manifolds

Kwang-Soon Park

Received March 23, 2016.  First published March 29, 2017.

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.
Keywords:  Riemannian submersion; Lagrangian Riemannian submersion; decomposition theorem; totally geodesic
Classification MSC:  53C15, 53C26


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Affiliations:   Kwang-Soon Park, Division of General Mathematics, Room 4-107, Changgong Hall, University of Seoul, Seoul 02504, Republic of Korea, e-mail: parkksn@gmail.com


 
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