Complete curvature homogeneous pseudo-Riemannian manifolds
classification
🧮 math.DG
math-phmath.MP
keywords
manifoldshomogeneouscompletecurvaturejordanpseudo-riemannianadditionexhibit
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We exhibit 3 families of complete curvature homogeneous pseudo-Riemannian manifolds which are modeled on irreducible symmetric spaces and which are not locally homogeneous. All of the manifolds have nilpotent Jacobi operators; some of the manifolds are, in addition, Jordan Osserman and Jordan Ivanov-Petrova.
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