Two theorems on Osserman manifolds
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Y. Nikolayevsky
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Article
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2003
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Elsevier Science
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English
⚖ 148 KB
Let M n be a Riemannian manifold. For a point p ∈ M n and a unit vector X ∈ T p M n , the Jacobi operator is defined by R X = R(X, • )X, where R is the curvature tensor. The manifold M n is called pointwise Osserman if, for every p ∈ M n , the spectrum of the Jacobi operator does not depend of the c