Mathematics – Differential Geometry
Scientific paper
2004-05-02
Mathematics
Differential Geometry
Scientific paper
For any k which is at least 2, we exhibit complete k-curvature homogeneous
neutral signature pseudo-Riemannian manifolds which are not k+1-affine
curvature homogeneous, and hence not locally homogeneous. All the local scalar
Weyl invariants of these manifolds vanish. These manifolds are Ricci flat,
Osserman, and Ivanov-Petrova.
Gilkey Peter
Nikcevic Stana
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