Geodesic
Curvature homogeneous spaces whose curvature tensors have large symmetries
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 2, pp. 283-297 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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},
     year = {2002},
     volume = {43},
     number = {2},
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     zbl = {1090.53050},
     language = {en},
     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/