A Kastler–Kalau–Walze type theorem for five-dimensional manifolds with boundary
A Kastler–Kalau–Walze type theorem for five-dimensional manifolds with boundary
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DOI：
10.1142/s0219887815500644
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发表时间：
2014-04
影响因子：
1.8
通讯作者：
Jian Wang;Yong Wang
中科院分区：
文献类型：
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作者：
Jian Wang;Yong Wang
由A. cones宣布的Kastler-Kalau-Walze定理表明，Dirac算子的平方反比的Wodzicki残差与广义相对论中的爱因斯坦-希尔伯特作用成正比。本文证明了具有边界的五维流形的一个Kastler-Kalau-Walze型定理。
The Kastler–Kalau–Walze theorem, announced by A. Connes, shows that the Wodzicki residue of the inverse square of the Dirac operator is proportional to the Einstein–Hilbert action of general relativity. In this paper, we prove a Kastler–Kalau–Walze type theorem for five-dimensional manifolds with boundary.