Geodesic
Real hypersurfaces in complex space forms concerned with the local symmetry
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 3, pp. 885-905 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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This paper consists of two parts. In the first, we find some geometric conditions derived from the local symmetry of the inverse image by the Hopf fibration of a real hypersurface $M$ in complex space form $M_m(4\epsilon )$. In the second, we give a complete classification of real hypersurfaces in $M_m(4\epsilon )$ which satisfy the above geometric facts.
This paper consists of two parts. In the first, we find some geometric conditions derived from the local symmetry of the inverse image by the Hopf fibration of a real hypersurface $M$ in complex space form $M_m(4\epsilon )$. In the second, we give a complete classification of real hypersurfaces in $M_m(4\epsilon )$ which satisfy the above geometric facts.
Classification : 53C15, 53C40, 53D15
Keywords: real hypersurfaces; local symmetry; derivations; Kulkarni-Nomizu product 
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     author = {Lyu, Seon Mi and P\'erez, Juan de Dios and Suh, Young Jin},
     title = {Real hypersurfaces in complex space forms concerned with the local symmetry},
     journal = {Czechoslovak Mathematical Journal},
     pages = {885--905},
     year = {2007},
     volume = {57},
     number = {3},
     mrnumber = {2356288},
     zbl = {1174.53034},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2007_57_3_a8/}
}
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Lyu, Seon Mi; Pérez, Juan de Dios; Suh, Young Jin. Real hypersurfaces in complex space forms concerned with the local symmetry. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 3, pp. 885-905. http://geodesic.mathdoc.fr/item/CMJ_2007_57_3_a8/