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Scalar conformal invariants of hypersurfaces

  • Author(s): Zhong, Jingyang
  • Advisor(s): Qing, Jie
  • et al.
Abstract

For a hypersurface in a conformal manifold, by following the idea of Fefferman and Graham's work, we use the conformal Gauss map and the conformal transform to construct the associate hypersurface in the ambient space. By evaluations of scalar Riemannian invariants of associate hypersurface, we find out a way to construct and collect scalar conformal invariants of the given hypersurface. This method provides chances for searching higher order partial differential equations which are similar like the Willmore equation.

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