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arxiv: 1605.05316 · v1 · pith:PC2WFAYQnew · submitted 2016-05-17 · 🧮 math.DG

Real hypersurfaces in the complex quadric with parallel structure Jacobi operator

classification 🧮 math.DG
keywords hypersurfacesjacobioperatorparallelrealstructurecomplexquadric
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First we introduce the notion of parallel structure Jacobi operator for real hypersurfaces in the complex quadric $Q^m = SO_{m+2}/SO_mSO_2$ . Next we give a complete classification of real hypersurfaces in $Q^m = SO_{m+2}/SO_mSO_2$ with parallel structure Jacobi operator.

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