Geodesic
Some Hypersurfaces of Symmetric Spaces
Canadian mathematical bulletin, Tome 26 (1983) no. 3, pp. 303-311

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In this paper we consider how much we can say about an irreducible symmetric space M which admits a hypersurface N with at most two distinct principal curvatures. Then we will obtain that (1) if N is locally symmetric, then M must be a sphere, a real projective space and their noncompact duals (2) if N is Einstein, then M must be rank 1.
DOI : 10.4153/CMB-1983-049-3
Mots-clés : 53C40, 53C35 
Matsuyama, Yoshio. Some Hypersurfaces of Symmetric Spaces. Canadian mathematical bulletin, Tome 26 (1983) no. 3, pp. 303-311. doi: 10.4153/CMB-1983-049-3
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     title = {Some {Hypersurfaces} of {Symmetric} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {303--311},
     year = {1983},
     volume = {26},
     number = {3},
     doi = {10.4153/CMB-1983-049-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-049-3/}
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