Real hypersurfaces in the complex quadric with parallel structure Jacobi\n operator

2016/05/16 by Young Jin Suh, Suh, Young Jin
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1605.05316

Abstract

First we introduce the notion of parallel structure Jacobi operator for real\nhypersurfaces in the complex quadric Q^m = SO_m+2/SO_mSO₂ . Next we give a\ncomplete classification of real hypersurfaces in Q^m = SO_m+2/SO_mSO₂ with\nparallel structure Jacobi operator.\n

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