Isometry groups of k-curvature homogeneous pseudo-Riemannian manifolds

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

2005-05-27

arxiv.org/abs/math/0505598v1

Mathematics

Differential Geometry

Scientific paper

We study the isometry groups and Killing vector fields of a family of pseudo-Riemannian metrics on Euclidean space which have neutral signature (3+2p,3+2p). All are p+2 curvature homogeneous, all have vanishing Weyl scalar invariants, all are geodesically complete, and all are 0-curvature modeled on an indecomposible symmetric space. Some of these manifolds are not p+3 curvature homogeneous. Some are homogeneous but not symmetric.

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