• Title/Summary/Keyword: ${\mathfrak{A}}$-principal

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Real Hypersurfaces with Invariant Normal Jacobi Operator in the Complex Hyperbolic Quadric

  • Jeong, Imsoon;Kim, Gyu Jong
    • Kyungpook Mathematical Journal
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    • v.60 no.3
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    • pp.551-570
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    • 2020

  • We introduce the notion of Lie invariant normal Jacobi operators for real hypersurfaces in the complex hyperbolic quadric Qm∗ = SOom,2/SOmSO2. The invariant normal Jacobi operator implies that the unit normal vector field N becomes 𝕬-principal or 𝕬-isotropic. Then in each case, we give a complete classification of real hypersurfaces in Qm∗ = SOom,2/SOmSO2 with Lie invariant normal Jacobi operators.

  • https://doi.org/10.5666/KMJ.2020.60.3.551 인용 PDF KSCI