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On duality principle in Osserman manifolds

✍ Scribed by Zoran Rakić


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
98 KB
Volume
296
Category
Article
ISSN
0024-3795

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✦ Synopsis


Let M be a pointwise Osserman Riemannian manifold. Here we give a proof of the duality principle for associated curvature tensor R of M.


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Two theorems on Osserman manifolds
✍ Y. Nikolayevsky 📂 Article 📅 2003 🏛 Elsevier Science 🌐 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

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