Asymptotic behavior of manifolds without conjugate points (Q1345853)
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scientific article; zbMATH DE number 734512
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior of manifolds without conjugate points |
scientific article; zbMATH DE number 734512 |
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Asymptotic behavior of manifolds without conjugate points (English)
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19 March 1995
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Let \(M\) be a complete simply connected manifold without conjugate points. The author shows that Busemann functions on \(M\) are \(C^2\) if the stable Jacobi tensor \(J_v\) depends continuously on \(v \in SM\). He shows that any horofunction is a Busemann function if \(J_v\) is Lipschitz continuous in \(v \in SM\).
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no conjugate points
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horofunctions
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Busemann functions
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Jacobi tensor
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