Gravity and the Noncommutative Residue for Manifolds with Boundary
Differential Geometry
2009-11-11 v1 Mathematical Physics
math.MP
Abstract
We prove a Kastler-Kalau-Walze type theorem for the Dirac operator and the signature operator for -dimensional manifolds with boundary. As a corollary, we give two kinds of operator theoretic explanations of the gravitational action in the case of 4-dimensional manifolds with flat boundary.
Keywords
Cite
@article{arxiv.math/0609058,
title = {Gravity and the Noncommutative Residue for Manifolds with Boundary},
author = {Yong Wang},
journal= {arXiv preprint arXiv:math/0609058},
year = {2009}
}