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- Title
A general Kastler-Kalau-Walze type theorem for manifolds with boundary.
- Authors
Wang, Jian; Wang, Yong
- Abstract
In this paper, we establish a general Kastler-Kalau-Walze type theorem for any dimensional manifolds with boundary which generalizes the results in [Y. Wang, Lower-dimensional volumes and Kastler-Kalau-Walze type theorem for manifolds with boundary, Commun. Theor. Phys. 54 (2010) 38-42]. This solves a problem of the referee of [J. Wang and Y. Wang, A Kastler-Kalau-Walze type theorem for five-dimensional manifolds with boundary, Int. J. Geom. Meth. Mod. Phys. 12(5) (2015), Article ID: 1550064, 34 pp.], which is a general expression of the lower dimensional volumes in terms of the geometric data on the manifold.
- Subjects
DIRAC operators; TYPE theory; MANIFOLDS (Mathematics); BOUNDARY value problems; PROBLEM solving
- Publication
International Journal of Geometric Methods in Modern Physics, 2016, Vol 13, Issue 1, p-1
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887816500031