• Title/Summary/Keyword: Generalized Killing structure Jacobi operator

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

  • Perez, Juan de Dios
    • Journal of the Korean Mathematical Society
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    • v.58 no.2
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    • pp.473-486
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    • 2021
  • 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.

GENERALIZED KILLING STRUCTURE JACOBI OPERATOR FOR REAL HYPERSURFACES IN COMPLEX HYPERBOLIC TWO-PLANE GRASSMANNIANS

  • Lee, Hyunjin;Suh, Young Jin;Woo, Changhwa
    • Journal of the Korean Mathematical Society
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    • v.59 no.2
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    • pp.255-278
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    • 2022
  • In this paper, first we introduce a new notion of generalized Killing structure Jacobi operator for a real hypersurface M in complex hyperbolic two-plane Grassmannians SU2,m/S (U2·Um). Next we prove that there does not exist a Hopf real hypersurface in complex hyperbolic two-plane Grassmannians SU2,m/S (U2·Um) with generalized Killing structure Jacobi operator.