Isometry groups of k -curvature homogeneous pseudo-Riemannian manifolds

Gilkey, P.; Nikčević, S.

  • Proceedings of the 25th Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page [99]-110

Abstract

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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.

How to cite

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Gilkey, P., and Nikčević, S.. "Isometry groups of $k$-curvature homogeneous pseudo-Riemannian manifolds." Proceedings of the 25th Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 2006. [99]-110. <http://eudml.org/doc/221393>.

@inProceedings{Gilkey2006,
abstract = {In 2005 Gilkey and Nikčević introduced complete $(p+2)$-curvature homogeneous pseudo-Riemannian manifolds of neutral signature $(3 + 2p, 3 + 2p)$, 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.},
author = {Gilkey, P., Nikčević, S.},
booktitle = {Proceedings of the 25th Winter School "Geometry and Physics"},
location = {Palermo},
pages = {[99]-110},
publisher = {Circolo Matematico di Palermo},
title = {Isometry groups of $k$-curvature homogeneous pseudo-Riemannian manifolds},
url = {http://eudml.org/doc/221393},
year = {2006},
}

TY - CLSWK
AU - Gilkey, P.
AU - Nikčević, S.
TI - Isometry groups of $k$-curvature homogeneous pseudo-Riemannian manifolds
T2 - Proceedings of the 25th Winter School "Geometry and Physics"
PY - 2006
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [99]
EP - 110
AB - In 2005 Gilkey and Nikčević introduced complete $(p+2)$-curvature homogeneous pseudo-Riemannian manifolds of neutral signature $(3 + 2p, 3 + 2p)$, 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.
UR - http://eudml.org/doc/221393
ER -

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