Some Remarks on the Coarse Index Theorem for Complete Riemannian Manifolds
Some Remarks on the Coarse Index Theorem for Complete Riemannian Manifolds
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关于完全黎曼流形粗指标定理的一些评论
DOI：
10.3836/tjm/1244208594
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发表时间：
2003
影响因子：
0.6
通讯作者：
S. Kamimura
中科院分区：
文献类型：
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作者：
S. Kamimura
.在本文中，我们陈述了两个结果的粗糙指数的简单模型的粗糙几何。第一个是偶数维闭黎曼流形上平凡丛的粗指标定理。它来自于平凡丛中这些基流形的庞加莱定理。接下来我们展示了Rn的粗上同调的生成元和Rn上的Riesz变换之间的一些对应关系。
. In this paper, we state two results on the coarse index for simple models of the coarse geometry. The first one is a coarse index theorem on trivial bundles over even dimensional closed Riemannian manifolds. It comes from the Poincaré duals for these base manifold in the trivial bundles. We next show some correspondence between the generator of the coarse cohomology of R n and the Riesz transformation on R n .