CURVATURE STRUCTURE OF SELF-DUAL 4-MANIFOLDS

DOI10.1142/S0219887808003259zbMath1163.53010arXiv0808.2799OpenAlexW3102096859MaRDI QIDQ5505863

Peter B. Gilkey, Iva Stavrov, Stana Ž. Nikčević, Novica Blažić

Publication date: 28 January 2009

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.2799

zbMATH Keywords

pseudo-Riemannian manifoldalgebraic curvature tensorOsserman manifoldWeyl conformal tensorconformally Osserman manifoldself-dual manifoldconformal Jacobi operator

Mathematics Subject Classification ID

Local Riemannian geometry (53B20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (4)

Conformally Osserman manifolds of dimension 16 and a Weyl-Schouten theorem for rank-one symmetric spaces ⋮ GEOMETRIC REALIZATIONS OF KAEHLER AND OF PARA-KAEHLER CURVATURE MODELS ⋮ Curvature models of conformally flat Walker (2,2)-manifolds ⋮ UNIVERSAL CURVATURE IDENTITIES III

Cites Work

• Two theorems on Osserman manifolds.
• Osserman conjecture in dimension \(n \not= 8, 16\)
• Curvature in the Eighties
• SOME HIGHLIGHTS OF DMITRY ALEKSEEVSKY'S WORK
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• Conformally Osserman four-dimensional manifolds whose conformal Jacobi operators have complex eigenvalues
• LORENTZIAN 3-MANIFOLDS WITH COMMUTING CURVATURE OPERATORS
• LATTICES AND PERIODIC GEODESICS IN PSEUDORIEMANNIAN 2-STEP NILPOTENT LIE GROUPS
• Osserman pseudo-Riemannian manifolds of signature (2,2)
• THE STRUCTURE OF ALGEBRAIC COVARIANT DERIVATIVE CURVATURE TENSORS
• CONFORMALLY OSSERMAN MANIFOLDS AND CONFORMALLY COMPLEX SPACE FORMS
• ISOPARAMETRIC GEODESIC SPHERES AND A CONJECTURE OF OSSERMAN CONCERNING THE JACOBI OPERATOR
• AFFINE CURVATURE HOMOGENEOUS 3-DIMENSIONAL LORENTZ MANIFOLDS
• The Jordan normal form of Osserman algebraic curvature tensors

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