Huygens operators on product manifolds (Q1422333)
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scientific article; zbMATH DE number 2040362
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Huygens operators on product manifolds |
scientific article; zbMATH DE number 2040362 |
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Huygens operators on product manifolds (English)
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11 February 2004
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The author proves that the elementary solution to the wave operator on the product of \(\kappa\) Riemannian manifolds is represented as a composition, with respect to the time variable, of \(\kappa\) elementary solutions to wave operators on factor manifolds. From this it follows that one obtains an infinite number of non-trivial momentary Huygens operators.
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Huygens operators
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Riemannian manifold
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Cauchy problem
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geodesic sphere
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distribution
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isometric
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wave operators on factor manifolds
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