Convergence of riemannian manifolds with integral bounds on curvature. I
Deane Yang (1992)
Annales scientifiques de l'École Normale Supérieure
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Deane Yang (1992)
Annales scientifiques de l'École Normale Supérieure
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Luis Guijarro, Peter Petersen (1997)
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International Journal of Mathematics and Mathematical Sciences
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Riemannian manifolds for which a natural skew-symmetric curvature operator has constant eigenvalues on helices are studied. A local classification in dimension three is given. In the three dimensional case one gets all locally symmetric spaces and all Riemannian manifolds with the constant principal Ricci curvatures , which are not locally homogeneous, in general.