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KILLING STRUCTURE JACOBI OPERATOR OF A REAL HYPERSURFACE IN A COMPLEX PROJECTIVE SPACE

  • Perez, Juan de Dios (Departamento de Geometria y Topologia Universidad de Granada)
  • Received : 2020.03.16
  • Accepted : 2020.07.21
  • Published : 2021.03.01

Abstract

We prove non-existence of real hypersurfaces with Killing structure Jacobi operator in complex projective spaces. We also classify real hypersurfaces in complex projective spaces whose structure Jacobi operator is Killing with respect to the k-th generalized Tanaka-Webster connection.