Transversely symplectic Dirac operators on transversely symplectic foliations

被引：0
|
作者：
Dal Jung, Seoung [1 ]
机构：
[1] Jeju Natl Univ, Dept Math, Jeju 690756, South Korea
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2022年 / 177卷
基金：
新加坡国家研究基金会;
关键词：
Transversely symplectic foliation; Transversely metaplectic structure; Transversely symplectic Dirac operator;
D O I：
10.1016/j.geomphys.2022.104524
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study transversely metaplectic structures and transversely symplectic Dirac operators on transversely symplectic foliations. And we give the Weitzenbock type formula for transversely symplectic Dirac operators. Moreover, we estimate the lower bound of the eigenvalues of the transversely symplectic Dirac operator defined by the transverse Levi-Civita connection on transverse Kahler foliations.
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页数：23
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