标题： 欧几里得和闵可夫斯基四维空间中的超球面作为几乎余接触几乎抛复黎曼流形 显示英文标题

标题： Hyperspheres in Euclidean and Minkowski 4-spaces as almost paracontact almost paracomplex Riemannian manifolds

摘要： 几乎近似接触几乎近似伪复数黎曼流形在最低维度被研究。 这种结构在四维空间中的超球面上构造，分别是欧几里得和伪欧几里得空间。 所得到的流形根据使用的分类进行研究和表征，并分析其几何性质。 显示英文摘要

摘要： Almost paracontact almost paracomplex Riemannian manifolds of the lowest dimension are studied. Such structures are constructed on hyperspheres in 4-dimensional spaces, Euclidean and pseudo-Euclidean, respectively. The obtained manifolds are studied and characterised in terms of the classification used and their geometric properties.