Geodesic rigidity of Levi-Civita connections admitting essential projective vector fields

被引：0
|
作者：
Ma, Tianyu [1 ]
机构：
[1] Friedrich Schiller Univ Jena, Fac Math & Informat, Ernst Abbe Pl 2, D-07743 Jena, Germany
来源：
GEOMETRIAE DEDICATA | 2020年 / 205卷 / 01期
关键词：
Geodesic rigidity; Essential projective vector field; Metrizable projective structure; Local dynamics;
D O I：
10.1007/s10711-019-00469-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, it is proved that a connected 3-dimensional Riemannian manifold or a closed connected semi-Riemannian manifold Mn (n > 1) admitting a projective vector field with a non-linearizable singularity is projectively flat.
引用
收藏
页码：147 / 166
页数：20
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