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D-einstein real hypersurfaces of quaternionic space forms

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Summary

We classifyD-Einstein real hypersurfaces of quaternionic space forms, obtaining as a consequence the non-existence of Ricci-parallel real hypersurfaces in the quaternionic hyperbolic space.

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Entrata in Redazione il 12 dicembre 1997 e, in versione riveduta, il 18 maggio 1998.

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Ortega, M., de Dios Pérez, J. D-einstein real hypersurfaces of quaternionic space forms. Annali di Matematica pura ed applicata 178, 33–44 (2000) doi:10.1007/BF02505886

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Keywords

  • Open Subset
  • Principal Curvature
  • Ricci Tensor
  • Real Hypersurface
  • Codazzi Equation