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Manifolds whose higher odd order curvature operators have constant eigenvalues at the basepoint

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Publication:1813021
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DOI10.1007/BF02921386zbMath0739.53011MaRDI QIDQ1813021

Peter B. Gilkey

Publication date: 25 June 1992

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)


zbMATH Keywords

curvature tensoreigenvaluescurvature operatorOsserman conjecturegeodesic involution


Mathematics Subject Classification ID

Local Riemannian geometry (53B20)


Related Items (2)

Geodesic spheres and two-point homogeneous spaces ⋮ Riemannian Metrics with the Prescribed Curvature Tensor and all Its Covariant Derivatives at One Point



Cites Work

  • Unnamed Item
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  • A curvature characterization of certain locally rank-one symmetric spaces
  • Interaction of tubes and spheres
  • A short topological proof for the symmetry of 2 point homogeneous spaces
  • Manifolds whose curvature operator has constant eigenvalues at the basepoint
  • Curvature in the Eighties


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