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Recent Results in Hypersurfaces in CP2 and CH2

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Patrick J. Ryan, McMaster University

What
  • Colloquium
When Tue, Jul 08, 2008
from 10:30 AM to 11:30 AM
Where Ritter 128
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There are many classification theorems for hypersurfaces M 2n−1 in the complex projective space CP n and the complex hyperbolic space CHn . The most prominent model spaces are the homogeneous Hopf hypersurfaces catalogued by R. Takagi for CP n and S. Montiel for CHn . The case n = 2 has proven to be more challenging than the higher dimensional ones. For example, all pseudo-Einstein hypersurfaces are known to belong the the lists of Takagi or Montiel when n ≥ 3, but not for n = 2. We will discuss this and other results involving contractions of the curvature tensor, with emphasis on how CP 2 and CH2 differ from the n ≥ 3 case.

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