Real hypersurfaces in the complex hyperbolic quadric with parallel normal Jacobi operator

DOI10.1007/s00009-018-1202-0zbMath1397.53071OpenAlexW2963058370WikidataQ129628600 ScholiaQ129628600MaRDI QIDQ1790540

Young Jin Suh

Publication date: 2 October 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1202-0

zbMATH Keywords

Kähler structurecomplex conjugationcomplex hyperbolic quadric\(\mathfrak {A}\)-isotropic\(\mathfrak {A}\)-principalparallel normal Jacobi operator

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global submanifolds (53C40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (10)

Real hypersurfaces in the complex hyperbolic quadric with normal Jacobi operator of Codazzi type ⋮ Unnamed Item ⋮ Real hypersurfaces in the complex hyperbolic quadric with harmonic curvature ⋮ Real hypersurfaces in the complex hyperbolic quadric with commuting Ricci tensor ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Quadratic Killing normal Jacobi operator for real hypersurfaces in the complex quadric ⋮ Real hypersurfaces with quadratic Killing normal Jacobi operator in the real Grassmannians of rank two ⋮ Real hypersurfaces with Killing structure Jacobi operator in the complex hyperbolic quadric ⋮ Real hypersurfaces in the complex hyperbolic quadric with Reeb invariant Ricci tensor

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