Volume Renormalization for the Blaschke Metric on Strictly Convex Domains
Volume Renormalization for the Blaschke Metric on Strictly Convex Domains
复制标题
DOI：
10.1007/s12220-017-9831-2
复制
发表时间：
2016-01
期刊：
影响因子：
--
通讯作者：
Taiji Marugame
中科院分区：
文献类型：
--
作者：
Taiji Marugame
我们考虑局部平坦射影流形中严格凸域上的射影不变度量Blaschke度量的体积展开。当边界是偶数维时，我们用对数系数表示仿射不变量在边界上的积分。我们还制定了一个内在的几何形状的边界作为一个共形Codazzi结构，并显示thatL给出了一个全球共形不变量的边界。
We consider the volume expansion of the Blaschke metric, which is a projectively invariant metric on a strictly convex domain in a locally flat projective manifold. When the boundary is even dimensional, we express the logarithmic coefficientLas the integral of affine invariants over the boundary. We also formulate an intrinsic geometry of the boundary as a conformal Codazzi structure and show thatLgives a global conformal invariant of the boundary.