Complete k-Curvature Homogeneous Pseudo-Riemannian Manifolds

被引：0
|
作者：
P. Gilkey
S. Nikčević
机构：
[1] University of Oregon,Mathematics Department
[2] SANU,Mathematical Institute
来源：
Annals of Global Analysis and Geometry | 2005年 / 27卷 / 1期
关键词：
affine ; -curvature homogeneous; Ivanov-Petrova manifold; -curvature homogeneous; locally affine homogeneous; Osserman manifold; Ricci flat;
D O I：
10.1007/s10455-005-5217-y
中图分类号：
学科分类号：
摘要：
Abstract. For k ≥ 2, we exhibit complete k-curvature homogeneous neutral signature pseudo-Riemannian manifolds which are not locally affine homogeneous (and hence not locally homogeneous). All the local scalarWeyl invariants of these manifolds vanish. These manifolds are Ricci flat, Osserman, and Ivanov-Petrova.
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页码：87 / 100
页数：13
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