RICCI SOLITONS ON 3-DIMENSIONAL COSYMPLECTIC MANIFOLDS

被引：48
|
作者：
Wang, Yaning [1 ]
机构：
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
来源：
MATHEMATICA SLOVACA | 2017年 / 67卷 / 04期
基金：
美国国家科学基金会;
关键词：
Ricci soliton; 3-dimensional cosymplectic manifold; contact transformation; locally flat; CONTACT GEOMETRY; INTEGRABILITY; TENSOR;
D O I：
10.1515/ms-2017-0026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove that if a 3-dimensional cosymplectic manifold M-3 admits a Ricci soliton, then either M-3 is locally flat or the potential vector field is an infinitesimal contact transformation.
引用
收藏
页码：979 / 984
页数：6
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