Positive scalar curvature and product formulas for secondary index invariants
Positive scalar curvature and product formulas for secondary index invariants
复制标题
DOI：
10.1112/jtopol/jtw005
复制
发表时间：
2014-12
影响因子：
1.1
通讯作者：
Rudolf Zeidler
中科院分区：
文献类型：
--
作者：
Rudolf Zeidler
我们引入了部分次级不变量与完全黎曼度量相关联，这些度量在自旋流形上的指定子集之外具有一致正的标量曲率（upsc）。这些可以用来区分这样的黎曼度量的一致性相对于规定的子集。给出了部分次不变量的一般外积公式，并由此导出了度量的高阶ρ-不变量和度量的高阶相对指数的乘积公式.
We introduce partial secondary invariants associated to complete Riemannian metrics which have uniformly positive scalar curvature (upsc) outside a prescribed subset on a spin manifold. These can be used to distinguish such Riemannian metrics up to concordance relative to the prescribed subset. We exhibit a general external product formula for partial secondary invariants, from which we deduce product formulas for the higher ρ ‐invariant of a metric with upsc as well as for the higher relative index of two metrics with upsc.