Hopf hypersurfaces of low type in non-flat complex space forms

@article{Dimitri2010HopfHO,
  title={Hopf hypersurfaces of low type in non-flat complex space forms},
  author={Ivko Dimitri{\'c}},
  journal={Kodai Mathematical Journal},
  year={2010},
  volume={34},
  pages={202-243}
}
  • Ivko Dimitrić
  • Published 19 May 2010
  • Mathematics
  • Kodai Mathematical Journal
We classify Hopf hypersurfaces of non-flat complex space forms CPm(4) and CHm(−4), denoted jointly by CQm(4c), that are of 2-type in the sense of B. Y. Chen, via the embedding into a suitable (pseudo) Euclidean space of Hermitian matrices by projection operators. This complements and extends earlier classifications by Martinez-Ros (minimal case) and Udagawa (CMC case), who studied only hypersurfaces of CPm and assumed them to have constant mean curvature instead of being Hopf. Moreover, we… 

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