Real hypersurfaces in the complex quadric with parallel structure Jacobi operator

Young Jin Suh

paper

Real hypersurfaces in the complex quadric with parallel structure Jacobi operator

arXiv:1605.05316

Abstract

First we introduce the notion of parallel structure Jacobi operator for real hypersurfaces in the complex quadric $Q^{m} = S O_{m + 2} / S O_{m} S O_{2}$ . Next we give a complete classification of real hypersurfaces in $Q^{m} = S O_{m + 2} / S O_{m} S O_{2}$ with parallel structure Jacobi operator.

14 pages. arXiv admin note: substantial text overlap with arXiv:1512.03671