English

The structure Jacobi operator for hypersurfaces in CP^2 and CH^2

Differential Geometry 2008-12-25 v1

Abstract

Using the methods of moving frames, we study real hypersurfaces in complex projective space CP^2 and complex hyperbolic space CH^2 whose structure Jacobi operator has various special properties. Our results complement work of several other authors who worked on such hypersurfaces in CP^n and CH^n for n>2.

Keywords

Cite

@article{arxiv.0812.4498,
  title  = {The structure Jacobi operator for hypersurfaces in CP^2 and CH^2},
  author = {Thomas A. Ivey and Patrick J. Ryan},
  journal= {arXiv preprint arXiv:0812.4498},
  year   = {2008}
}

Comments

13 pages

R2 v1 2026-06-21T11:55:31.283Z