The Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary
Journal Article
·
· Journal of Mathematical Physics
- School of Science, Tianjin University of Technology and Education, Tianjin 300222 (China)
- School of Mathematics and Statistics, Northeast Normal University, Changchun 130024 (China)
In this paper, we define lower dimensional volumes of spin manifolds with boundary. We compute the lower dimensional volume V ol{sub 6}{sup (1,3)} for 6-dimensional spin manifolds with boundary and derive the gravity on boundary from the noncommutative residue associated with Dirac operators. For 6-dimensional manifolds with boundary, we also get a Kastler-Kalau-Walze type theorem for a general fourth order operator.
- OSTI ID:
- 22403145
- Journal Information:
- Journal of Mathematical Physics, Vol. 56, Issue 5; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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