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arxiv: 0812.4498 · v1 · submitted 2008-12-24 · 🧮 math.DG

The structure Jacobi operator for hypersurfaces in CP² and CH²

classification 🧮 math.DG
keywords hypersurfacescomplexjacobioperatorspacestructureauthorscomplement
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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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