Differential Forms and the Noncommutative Residue for Manifolds with Boundary in the Non-product Case
Differential Geometry
2009-11-11 v1 Mathematical Physics
math.MP
Abstract
In this paper, for an even dimensional compact manifold with boundary which has the non-product metric near the boundary, we use the noncommutative residue to define a conformal invariant pair. For a 4-dimensional manifold, we compute this conformal invariant pair under some conditions and point out the way of computations in the general.
Keywords
Cite
@article{arxiv.math/0609060,
title = {Differential Forms and the Noncommutative Residue for Manifolds with Boundary in the Non-product Case},
author = {Yong Wang},
journal= {arXiv preprint arXiv:math/0609060},
year = {2009}
}