Lower dimensional volumes and the Kastler-Kalau-Walze type theorem for Manifolds with Boundary

Details Lower dimensional volumes and the Kastler-Kalau-Walze type theorem for Manifolds with Boundary Lower dimensional volumes and the Kastler-Kalau-Walze type theorem for Manifolds with Boundary

2009-07-17

arxiv.org/abs/0907.3012v1

Communications in Theoretical Physics 2010 Vol.54 No.01 38-42

Mathematics

Differential Geometry

Scientific paper

In this paper, we define lower dimensional volumes of spin manifolds with
boundary. We compute the lower dimensional volume ${\rm Vol}^{(2,2)}$ for
5-dimensional and 6-dimensional spin manifolds with boundary and we also get
the Kastler-Kalau-Walze type theorem in this case.

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