QUADRATIC KILLING NORMAL JACOBI OPERATOR FOR REAL HYPERSURFACES IN THE COMPLEX QUADRIC

摘要

We introduce the notion of quadratic Killing normal Jacobi operator (simply, Killing normal Jacobi operator) and its geometric meaning for real hypersurfaces in the complex quadric. In addition, we give a nonexistence theorem for Hopf real hypersurfaces with quadratic Killing normal Jacobi operator in the complex quadric.