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Isoparametric geodesic spheres and a conjecture of Osserman concerning the Jacobi operator. (English) Zbl 0848.53023

The authors study in detail the relationship between pointwise Osserman and globally Osserman manifolds and point out some of their properties.

MSC:

53C20 Global Riemannian geometry, including pinching
58J50 Spectral problems; spectral geometry; scattering theory on manifolds
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