Geodesic
Geometric Meaning of Isoparametric Hypersurfaces in a Real Space Form
Canadian mathematical bulletin, Tome 43 (2000) no. 1, pp. 74-78

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We shall provide a characterization of all isoparametric hypersurfaces ${M}'s$ in a real space form $\tilde{M}\left( c \right)$ by observing the extrinsic shape of geodesics of $M$ in the ambient manifold $\tilde{M}\left( c \right)$ .
DOI : 10.4153/CMB-2000-011-3
Mots-clés : 53C35, 53C20, 53C22 
Kimura, Makoto; Maeda, Sadahiro. Geometric Meaning of Isoparametric Hypersurfaces in a Real Space Form. Canadian mathematical bulletin, Tome 43 (2000) no. 1, pp. 74-78. doi: 10.4153/CMB-2000-011-3
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     title = {Geometric {Meaning} of {Isoparametric} {Hypersurfaces} in a {Real} {Space} {Form}},
     journal = {Canadian mathematical bulletin},
     pages = {74--78},
     year = {2000},
     volume = {43},
     number = {1},
     doi = {10.4153/CMB-2000-011-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-011-3/}
}
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