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2. The Osserman Conjecture in Riemannian Geometry

  • Eduardo García-RíoEmail author
  • Demir N. Kupeli
  • Ramón Vázquez-Lorenzo
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1777)

Abstract

  • 2.1 Partial Solution to the Osserman Conjecture
    • 2.1.1 Odd-Dimensional Riemannian Pointwise Osserman Manifolds

    • 2.1.2 (4m + 2)-Dimensional Riemannian Pointwise Osserman Manifolds

    • 2.1.3 Four-Dimensional Riemannian Osserman Manifolds

  • 2.2 A Solution to the Osserman Conjecture with Additional Assumptions
    • 2.2.1 Kähler and Quaternionic Kähler Manifolds

    • 2.2.2 Riemannian Osserman Manifolds with Two Distinct Eigenvalues

    • 2.2.3 Homogeneous Manifolds of Negative Sectional Curvature

Mathematics Subject Classification (2000):

53C25 53C50 53C55 53C80 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2002

Authors and Affiliations

  • Eduardo García-Río
    • 1
    Email author
  • Demir N. Kupeli
    • 2
  • Ramón Vázquez-Lorenzo
    • 1
  1. 1.Dept. of Geometry and Topology, Faculty of MathematicsUniv. of Santiago de CompostelaSantiagoSpain
  2. 2.Dept. of MathematicsAtilim UniversityAnkaraTurkey

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