Conformal invariants for determinants of laplacians on Riemann surfaces
Conformal invariants for determinants of laplacians on Riemann surfaces
复制标题
黎曼曲面上拉普拉斯行列式的共形不变量
DOI：
10.1007/bf01225377
复制
发表时间：
1987
影响因子：
2.4
通讯作者：
W. Weisberger
中科院分区：
文献类型：
--
作者：
W. Weisberger
对于光滑边界的Riemann曲面，在Dirichlet和Neumann边界条件下，构造了与标量拉普拉斯算子的行列式成比例的共形(Weyl)不变量。行列式由Zeta函数正则化定义。不变量中的其他量由曲面的度量属性确定。作为应用，导出了平面圆盘和平环上行列式的显式表示。
For a Riemann surface with smooth boundaries, conformal (Weyl) invariant quantities proportional to the determinant of the scalar Laplacian operator are constructed both for Dirichlet and Neumann boundary conditions. The determinants are defined by zeta function regularization. The other quantities in the invariants are determined from metric properties of the surface. As applications explicit representations for the determinants on the flat disk and the flat annulus are derived.