Some applications of Ricci flow to 3-manifolds
Sylvain Maillot (2006-2007)
Séminaire de théorie spectrale et géométrie
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Displaying similar documents to “Geometrization of three manifolds and Perelman's proof.”
Some applications of Ricci flow to 3-manifolds
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We expound some results about the relationships between the Jacobi operators with respect to null vectors on a Lorentzian S-manifold and the Jacobi operators with respect to particular spacelike unit vectors. We study the number of the eigenvalues of such operators on Lorentzian S-manifolds satisfying the φ-null Osserman condition, under suitable assumptions on the dimension of the manifold. Then, we provide in full generality a new curvature characterization for Lorentzian S-manifolds...
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