H-anti-invariant submersions from almost quaternionic Hermitian manifolds

Czechoslovak Mathematical Journal

Kwang-Soon Park¹ 

关键词: Riemannian submersion;    Lagrangian Riemannian submersion;    decomposition theorem;    totally geodesic;   

DOI  :  10.21136/CMJ.2017.0143-16

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

  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.

【 授权许可】

Unknown