Curvature homogeneous spaces whose curvature tensors have large symmetries
Tsukada, Kazumi
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002), p. 283-297 / Harvested from 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.

Publié le : 2002-01-01
Classification:  53B20,  53C30 
@article{119320,
     author = {Kazumi Tsukada},
     title = {Curvature homogeneous spaces whose curvature tensors have large symmetries},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {43},
     year = {2002},
     pages = {283-297},
     zbl = {1090.53050},
     mrnumber = {1922128},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119320}
}

Tsukada, Kazumi. Curvature homogeneous spaces whose curvature tensors have large symmetries. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) pp. 283-297. http://gdmltest.u-ga.fr/item/119320/

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