Isometry groups of $k$-curvature homogeneous pseudo-Riemannian manifolds

Isometry groups of

k

-curvature homogeneous pseudo-Riemannian manifolds

Gilkey, P. ; Nikčević, S.

Proceedings of the 25th Winter School "Geometry and Physics", GDML_Books, (2006), p. [99]-110 / Harvested from

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Résumé

In 2005 Gilkey and Nikčević introduced complete $(p + 2)$ -curvature homogeneous pseudo-Riemannian manifolds of neutral signature $(3 + 2 p, 3 + 2 p)$ , which are $0$ -modeled on an indecomposable symmetric space, but which are not $(p + 3)$ -curvature homogeneous. In this paper the authors continue their study of the same family of manifolds by examining their isometry groups and the isometry groups of their $k$ -models.

MR MR2287129 | Zbl 1125.53051

EUDML-ID : urn:eudml:doc:221393
Mots clés:

@article{701769,
     title = {Isometry groups of $k$-curvature homogeneous pseudo-Riemannian manifolds},
     booktitle = {Proceedings of the 25th Winter School "Geometry and Physics"},
     series = {GDML\_Books},
     publisher = {Circolo Matematico di Palermo},
     address = {Palermo},
     year = {2006},
     pages = {[99]-110},
     mrnumber = {MR2287129},
     zbl = {1125.53051},
     url = {http://dml.mathdoc.fr/item/701769}
}

Gilkey, P.; Nikčević, S. Isometry groups of $k$-curvature homogeneous pseudo-Riemannian manifolds, dans Proceedings of the 25th Winter School "Geometry and Physics", GDML_Books,  (2006), pp. [99]-110. http://gdmltest.u-ga.fr/item/701769/