The index form of a geodesic on a glued Riemannian space (Q699961)
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scientific article; zbMATH DE number 1808104
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The index form of a geodesic on a glued Riemannian space |
scientific article; zbMATH DE number 1808104 |
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The index form of a geodesic on a glued Riemannian space (English)
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20 June 2003
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The notion of glued Riemannian space which is obtained from Riemannian manifolds by identifying isometric submanifolds is introduced. The variational problem for the arc length is studied on this type of manifolds, leading to information concerning the geodesics.
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geodesics
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Riemannian manifold
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submanifold
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gluing
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