论文标题
射线手扭转和镜头空间上的Rumin Laplacian
Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces
论文作者
论文摘要
我们在Hurwitz Zeta函数方面明确表达了与透镜空间上的Rumin复合物相关的分析扭转函数。特别是,我们发现该功能在原点上消失并确定分析扭转。此外,我们在这种扭转和射线手扭转之间有一个公式。
We express explicitly the analytic torsion functions associated with the Rumin complex on lens spaces in terms of the Hurwitz zeta function. In particular, we find that the functions vanish at the origin and determine the analytic torsions. Moreover, we have a formula between this torsion and the Ray-Singer torsion.