Locally conformally symplectic reduction

被引：8
|
作者：
Stanciu, Miron [1 ,2 ]
机构：
[1] Romanian Acad, Inst Math Simion Stoilow, 21 Calea Grivitei St, Bucharest 010702, Romania
[2] Univ Bucharest, Fac Math & Comp Sci, 14 Acad Str, Bucharest, Romania
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2019年 / 56卷 / 02期
关键词：
Locally conformally symplectic; Locally conformally Kahler; Contact manifold; Sasakian manifold; Momentum map; Reduction; CONTACT;
D O I：
10.1007/s10455-019-09666-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a reduction procedure for locally conformally symplectic manifolds with an action of a Lie group preserving the conformal structure, with respect to any regular value of the momentum mapping. Under certain conditions, this reduction is compatible with the existence of a locally conformally Kahler structure. As a special consequence, we obtain a compatible contact reduction with respect to any regular value of the contact momentum mapping.
引用
收藏
页码：245 / 275
页数：31
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