Invariants of conformal Laplacians

@article{Parker1987InvariantsOC,
  title={Invariants of conformal Laplacians},
  author={Thomas H. Parker and S. Rosenberg},
  journal={Journal of Differential Geometry},
  year={1987},
  volume={25},
  pages={199-222}
}
The conformal Laplacian D = d*d + (n - 2)s/4(n - 1), acting on functions on a Riemannian manifold Mn with scalar curvature s, is a conformally invariant operator. In this paper we will use D to construct new conformal invariants: one of these is a pointwise invariant, one is the integral of a local expression, and one is a nonlocal spectral invariant derived from functional determinants. We begin in §1 by describing the Laplacian D and its Green function in the context of conformal geometry. We… Expand

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References

SHOWING 1-10 OF 22 REFERENCES
R-Torsion and the Laplacian on Riemannian manifolds
Characteristic classes and weyl tensor: applications to general relativity.
  • A. Avez
  • Physics, Medicine
  • Proceedings of the National Academy of Sciences of the United States of America
  • 1970
Dirac operators coupled to vector potentials.
  • M. Atiyah, I. Singer
  • Physics, Medicine
  • Proceedings of the National Academy of Sciences of the United States of America
  • 1984
...
1
2
3
...