Differential relations in the inverse problem of determining a metric from a hodograph (Q845150)
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scientific article; zbMATH DE number 5666528
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differential relations in the inverse problem of determining a metric from a hodograph |
scientific article; zbMATH DE number 5666528 |
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Differential relations in the inverse problem of determining a metric from a hodograph (English)
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5 February 2010
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A Riemannian manifold is called compact scattering if its boundary is strictly convex and there are no geodesics of infinite length. For such a manifold \(M\) that respects an additional constraint on sectional curvatures, the author obtained differential relations on the metric and its hodograph restricted to the boundary of \(M\), relations which are true or false simultaneously.
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compact scattering Riemannian manifold
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sectional curvature
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hodograph
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inverse problem
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