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Article overview
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Noncommutative Residue and Dirac operators for Manifolds with the Conformal Robertson-Walker metric | Jian Wang
; Yong Wang
; | Date: |
12 Jan 2013 | Abstract: | In this paper, we prove a Kastler-Kalau-Walze type theorem for 4-dimensional
and 6-dimensional spin manifolds with boundary associated with the conformal
Robertson-Walker metric. And we give two kinds of operator theoretic
explanations of the gravitational action for boundary in the case of
4-dimensional manifolds with flat boundary. In particular, for 6-dimensional
spin manifolds with boundary with the conformal Robertson-Walker metric, we
obtain the noncommutative residue of the composition of $pi^+D^{-1}$ and
$pi^+D^{-3}$ is proportional to the Einstein-Hilbert action for manifolds with
boundary. | Source: | arXiv, 1301.2652 | Services: | Forum | Review | PDF | Favorites |
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