Manifolds with indefinite metrics whose skew-symmetric curvature operator has constant eigenvalues (Q2733962)
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scientific article; zbMATH DE number 1633282
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Manifolds with indefinite metrics whose skew-symmetric curvature operator has constant eigenvalues |
scientific article; zbMATH DE number 1633282 |
Statements
2 September 2001
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Riemannian metric
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curvature operator
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eigenvalues
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Manifolds with indefinite metrics whose skew-symmetric curvature operator has constant eigenvalues (English)
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The curvature tensor of a (pseudo-)Riemannian manifold naturally defines an endomorphism on the tangent bundle or on the bundle of 2-planes. The author studies some modification of this endomorphism, called by him the skew-symmetric curvature operator, and classifies the manifolds where its eigenvalues do not depend on the 2-plane. The paper is a survey without proofs, but with many references.NEWLINENEWLINEFor the entire collection see [Zbl 0966.00031].
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