Geodesic mappings of compact quasi-Einstein spaces, I

Pracì Mìžnarodnogo Geometričnogo Centru

Aleksandr Savchenko¹  Volodymyr Kiosak²  Galina Kovalova² 

[1] Kherson State Agrarian University;Odesa State Academy of Civil Engineering and Architecture;

关键词: pseudo-riemannian spaces;    quasi-einstein spaces;    geodesic mapping;   

DOI  :  10.15673/tmgc.v13i1.1711

来源: DOAJ

【 摘 要 】

The paper treats a particular type of pseudo-Riemannian spaces, namely quasi-Einstein spaces with gradient dening vector. These spaces are a generalization of well-known Einstein spaces. There are three types of these spaces that permit locally geodesic mappings. Authors proved "a theorem of disappearance" for compact quasi-Einstein spaces of main type.

【 授权许可】

Unknown