We introduce the notions of h-conformal anti-invariant submersions and h-conformal Lagrangian submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds as a generalization of Riemannian submersions, horizontally conformal submersions, anti-invariant submersions, h-anti-invariant submersions, h-Lagrangian submersion, conformal anti-invariant submersions. We investigate their properties: the integrability of distributions, the geometry of foliations, the conditions for such maps to be totally geodesic, etc. Finally, we give some examples of such maps.

中文翻译：

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来自几乎四元数 Hermitian 流形的 H 共形反不变淹没

我们将 h 共形反不变淹没和 h 共形拉格朗日淹没的概念从几乎四元数厄米流形引入黎曼流形，作为黎曼淹没、水平共形淹没、反不变淹没、h 反不变淹没的推广， -拉格朗日浸没，共形抗不变浸没。我们研究了它们的特性：分布的可积性、叶理的几何形状、这些地图完全是测地线的条件等。最后，我们给出了这些地图的一些例子。