Real hypersurfaces with Reeb invariant structure Jacobi operator in the complex quadric

Real hypersurfaces with Reeb invariant structure Jacobi operator in the complex quadric

We introduce a new notion of Reeb invariant structure Jacobi operator and two kinds of singular normal vector field N for a real hypersurface M in the complex quadric Qm, m ? 3. If the unit normal N is U-isotropic, we give a classification of Hopf real hypersurfaces with Reeb invariant structure Jac...

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Veröffentlicht in:Filomat 2021, Vol.35 (12), p.3933-3944
Hauptverfasser: Kim, Gyu, Jeong, Imsoon, Lee, Hyunjin
Format: Artikel
Sprache:eng
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Zusammenfassung:We introduce a new notion of Reeb invariant structure Jacobi operator and two kinds of singular normal vector field N for a real hypersurface M in the complex quadric Qm, m ? 3. If the unit normal N is U-isotropic, we give a classification of Hopf real hypersurfaces with Reeb invariant structure Jacobi operator in the complex quadric Qm, for m ? 3.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL2112933K