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Jacobi tensors and focal points for spacelike submanifolds - MaRDI portal

Jacobi tensors and focal points for spacelike submanifolds (Q2782765)

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scientific article; zbMATH DE number 1725446
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Jacobi tensors and focal points for spacelike submanifolds
scientific article; zbMATH DE number 1725446

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    8 April 2002
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    hyperbolic spacetime
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    \(K\)-Jacobi tensors
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    timelike diameter
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    Jacobi tensors and focal points for spacelike submanifolds (English)
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    Let \(K\) be a submanifold of arbitrary codimension of a globally hyperbolic space-time. The authors investigate \(K\)-Jacobi tensors and their associated Riccati equations and compute the timelike diameter along the timelike geodesic orthogonal to \(K.\) This is sharper than the one given by the traditional index form technique.
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