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arxiv: math/0306072 · v1 · submitted 2003-06-03 · 🧮 math.DG · math-ph· math.MP

Curvature homogeneous pseudo-Riemannian manifolds which are not locally homogeneous

classification 🧮 math.DG math-phmath.MP
keywords homogeneouscurvaturelocallymanifoldspseudo-riemannianspacearisebalanced
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We construct a family of balanced signature pseudo-Riemannian manifolds, which arise as hypersurfaces in flat space, that are curvature homogeneous, that are modeled on a symmetric space, and that are not locally homogeneous.

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