Real Hypersurfaces with Constant Principal Curvatures in the Complex Hyperbolic Plane

@inproceedings{Berndt2008RealHW,
  title={Real Hypersurfaces with Constant Principal Curvatures in the Complex Hyperbolic Plane},
  author={J{\"u}rgen Berndt and JOS{\'E} CARLOS D{\'I}AZ-RAMOS},
  year={2008}
}
Élie Cartan classified in [6] all connected hypersurfaces M with constant principal curvatures in the real hyperbolic space RH, n ≥ 3. His classification exhibits two remarkable features. Firstly, the number g of distinct principal curvatures has an upper bound independent of the dimension n. In fact, Cartan showed that g ≤ 2. Secondly, every connected real hypersurface with constant principal curvatures in RH is an open part of a homogeneous hypersurface. Therefore, assuming M is complete, the… CONTINUE READING

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