Real hypersurfaces in the complex quadric with parallel structure Jacobi operator

Young Jin Suh

Real hypersurfaces in the complex quadric with parallel structure Jacobi operator

Differential Geometry 2016-05-19 v1

Authors: Young Jin Suh

Abstract

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.

Keywords

jacobian conjecture jacobi forms

Cite

@article{arxiv.1605.05316,
  title  = {Real hypersurfaces in the complex quadric with parallel structure Jacobi operator},
  author = {Young Jin Suh},
  journal= {arXiv preprint arXiv:1605.05316},
  year   = {2016}
}

Comments

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

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