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

Thomas A. Ivey; Patrick J. Ryan

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arXiv · 0812.4498

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

Thomas A. Ivey·Patrick J. Ryan

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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.

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BibTeX RIS

Thomas A. Ivey, Patrick J. Ryan. 2008-12-24. The structure Jacobi operator for hypersurfaces in CP^2 and CH^2. https://arxiv.org/abs/0812.4498

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