Monotonicity for the Chern-Moser-Weyl curva- ture tensor and CR embeddings Dedicated to Professor ZHONG TongDe on the occasion of his 80th birthday

نویسندگان

  • HUANG XiaoJun
  • ZHANG Yuan
چکیده

We give, in this paper, a monotonicity formula for the Chern-Moser-Weyl curvature tensor under the action of holomorphic embeddings between Levi non-degenerate hypersurfaces with the same positive signature. As an application, we provide some concrete examples of algebraic Levi non-degenerate hypersurfaces with positive signature that are not embeddable into a hyperquadric of the same signature in a complex space of higher dimension.

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تاریخ انتشار 2009