Abstract

Properties of homogeneous spaces having an invariant \(\mathcal E\)-structure (a generalization of the structure of a homogeneous dual manifold) are studied. Simply connected homogeneous spaces of dimension \(<5\) with such a structure are described up to a diffeomorphism.

中文翻译：

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齐次 $$\mathcal E$$ -流形的一些性质

摘要

研究了具有不变\(\mathcal E\)结构（齐次对偶流形结构的推广）的齐次空间的性质。具有这种结构的维度\(<5\) 的简单连接齐次空间被描述为微分同胚。