Geodesic
Curvature homogeneous spaces whose curvature tensors have large symmetries
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 2, pp. 283-297.

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We study curvature homogeneous spaces or locally homogeneous spaces whose curvature tensors are invariant by the action of ``large" Lie subalgebras $\frak{h}$ of $\frak{so}(n)$. In this paper we deal with the cases of $\frak{h}=\frak{so}(r) \oplus \frak{so}(n-r)$ $(2\leq r \leq n-r)$, $\frak{so}(n-2)$, and the Lie algebras of Lie groups acting transitively on spheres, and classify such curvature homogeneous spaces or locally homogeneous spaces.
Classification : 53B20, 53C30
Keywords: locally homogeneous spaces; curvature homogeneous spaces; totally geodesic foliations 
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     author = {Tsukada, Kazumi},
     title = {Curvature homogeneous spaces whose curvature tensors have large symmetries},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {283--297},
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     number = {2},
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     zbl = {1090.53050},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_2002__43_2_a7/}
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Tsukada, Kazumi. Curvature homogeneous spaces whose curvature tensors have large symmetries. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 2, pp. 283-297. http://geodesic.mathdoc.fr/item/CMUC_2002__43_2_a7/