English

Differential Forms and the Wodzicki Residue for Manifolds with Boundary

Differential Geometry 2009-11-11 v1 Mathematical Physics math.MP

Abstract

In [3], Connes found a conformal invariant using Wodzicki's 1-density and computed it in the case of 4-dimensional manifold without boundary. In [14], Ugalde generalized the Connes' result to nn-dimensional manifold without boundary. In this paper, we generalize the results of [3] and [14] to the case of manifolds with boundary.

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Cite

@article{arxiv.math/0609062,
  title  = {Differential Forms and the Wodzicki Residue for Manifolds with Boundary},
  author = {Yong Wang},
  journal= {arXiv preprint arXiv:math/0609062},
  year   = {2009}
}