Geodesic
Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting restricted normal Jacobi operators
Czechoslovak Mathematical Journal, Tome 67 (2017) no. 4, pp. 989-1004 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We give a classification of Hopf real hypersurfaces in complex hyperbolic two-plane Grassmannians ${\rm SU}_{2,m}/S(U_{2}{\cdot }U_{m})$ with commuting conditions between the restricted normal Jacobi operator $\overline {R}_{N}\phi $ and the shape operator $A$ (or the Ricci tensor $S$).
We give a classification of Hopf real hypersurfaces in complex hyperbolic two-plane Grassmannians ${\rm SU}_{2,m}/S(U_{2}{\cdot }U_{m})$ with commuting conditions between the restricted normal Jacobi operator $\overline {R}_{N}\phi $ and the shape operator $A$ (or the Ricci tensor $S$).
DOI : 10.21136/CMJ.2017.0289-16
Classification : 53C15, 53C40
Keywords: real hypersurface; complex hyperbolic two-plane Grassmannians; Hopf hypersurface; shape operator; Ricci tensor; normal Jacobi operator; commuting condition 
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     title = {Real hypersurfaces in complex hyperbolic two-plane {Grassmannians} with commuting restricted normal {Jacobi} operators},
     journal = {Czechoslovak Mathematical Journal},
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     year = {2017},
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Hwang, Doo Hyun; Pak, Eunmi; Woo, Changhwa. Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting restricted normal Jacobi operators. Czechoslovak Mathematical Journal, Tome 67 (2017) no. 4, pp. 989-1004. doi: 10.21136/CMJ.2017.0289-16

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