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Spectral Invariants of Conformal Metrics

  • Sun-Yung A. Chang
  • Paul C. Yang
Conference paper

Abstract

On a compact Riemannian manifold (M, g) the Laplace operator \( \Delta = {g^{ - 1/2}}{\partial _i}\left( {{g^{1/2}}{g^{ij}}{\partial _j}} \right) \)acting on functions have discrete spectrum: \( 0 < {\lambda _1} \le {\lambda _2} \le \ldots \)corresponding to the eigenfunctions
$$ \Delta u + {\lambda _i}u = 0 $$
.

Keywords

Scalar Curvature Conformal Transformation Sobolev Inequality Plane Domain Conformal Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Tokyo 1991

Authors and Affiliations

  • Sun-Yung A. Chang
    • 1
  • Paul C. Yang
    • 2
  1. 1.Department of MathematicsUCLALos AngelesUSA
  2. 2.Department of MathematicsUSCLos AngelesUSA

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