H-anti-invariant submersions from almost quaternionic Hermitian\n manifolds

2015/07/16 by Kwang-Soon Park, Park, Kwang-Soon · 2 citations
Mathematics · Physics and Astronomy · #53C15 #53C26 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1507.04473

openalex publication_date 2015/07/16 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

As a generalization of anti-invariant Riemannian submersions and Lagrangian\nRiemannian submersions, we introduce the notions of h-anti-invariant\nsubmersions and h-Lagrangian submersions from almost quaternionic Hermitian\nmanifolds onto Riemannian manifolds. We obtain characterizations and\ninvestigate some properties: the integrability of distributions, the geometry\nof foliations, and the harmonicity of such maps. We also find a condition for\nsuch maps to be totally geodesic and give some examples of such maps. Finally,\nwe obtain some types of decomposition theorems.\n

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• Curvature inequalities for anti-invariant submersion from quaternionic space forms
• On H-Conformal Semi-invariant Submersion

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