Geodesic
Eigenvalues of the Curvature Operator for Certain Homogeneous Manifolds
Canadian journal of mathematics, Tome 42 (1990) no. 6, pp. 981-999

Voir la notice de l'article provenant de la source Cambridge University Press

Given a Riemannian manifold M, the Riemann tensor R induces the curvature operator on the exterior power of the tangent space, defined by the formula where the inner product is defined by From the symmetries of R, it follows that ρ is self-adjoint and so has only real eigenvalues. R also induces the sectional curvature function K on 2-planes in is an orthonormal basis of the 2-plane π.
DOI : 10.4153/CJM-1990-052-5
Mots-clés : 53C20 53C30 
D'Atri, J. E.; Miatello, I. Dotti. Eigenvalues of the Curvature Operator for Certain Homogeneous Manifolds. Canadian journal of mathematics, Tome 42 (1990) no. 6, pp. 981-999. doi: 10.4153/CJM-1990-052-5
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