紧致拟爱因斯坦空间的测地线映射，2

Q3 Mathematics Proceedings of the International Geometry Center Pub Date : 2021-05-16 DOI:10.15673/tmgc.v14i1.1936

V. Kiosak, A. Savchenko, O. Latysh

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引用次数: 13

摘要

本文讨论了具有梯度定义向量的拟爱因斯坦空间的测地线映射。之前，作者定义了三种类型的空间。本文证明了不存在特殊类型的拟爱因斯坦空间。证明了主型拟爱因斯坦空间相对于测地线映射是封闭的。证明了特定类型的空间是测地线D对称空间。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Geodesic mappings of compact quasi-Einstein spaces, II

The paper treats geodesic mappings of quasi-Einstein spaces with gradient defining vector. Previously the authors defined three types of these spaces. In the present paper it is proved that there are no quasi-Einstein spaces of special type. It is demonstrated that quasi-Einstein spaces of main type are closed with respect to geodesic mappings. The spaces of particular type are proved to be geodesic $D$-symmetric spaces.

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