A criterion for the concircular mobility of quasi-Sasakian manifolds

被引：1
|
作者：
Kirichenko, V. F. [1 ]
Pol'kina, E. A. [1 ]
机构：
[1] Moscow State Pedag Univ, Moscow, Russia
来源：
MATHEMATICAL NOTES | 2009年 / 86卷 / 3-4期
关键词：
quasi-Sasakian structure; concircular transformation of a metric; Fialkow space; cosymplectic manifold; Sasakian manifold; Kenmotsu manifold; GEOMETRY;
D O I：
10.1134/S0001434609090077
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The following question is considered: Which quasi-Sasakian (cosymplectic, Sasakian, or proper quasi-Sasakian) structures admit nontrivial concircular transformations of their metrics (i.e., determine Fialkow spaces), and under what conditions. It is proved that any cosymplectic manifold is a Fialkow space. Necessary and sufficient conditions for a Sasakian or a quasi-Sasakian manifold to be a Fialkow space are obtained. A fairly large class of Sasakian manifolds which are not Fialkow spaces is described.
引用
收藏
页码：349 / 356
页数：8
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