Transnormal functions and focal varieties on Finsler manifolds (Q2688219)
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scientific article; zbMATH DE number 7658960
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transnormal functions and focal varieties on Finsler manifolds |
scientific article; zbMATH DE number 7658960 |
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Transnormal functions and focal varieties on Finsler manifolds (English)
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2 March 2023
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In the present paper authors have studied the transnormal functions and their level sets and focal varieties on complete Finsler manifolds and proved that the focal varieties of a \(C^2\)-transnormal function are smooth submanifolds and each regular level set is a tube over either of the focal varieties. The results are interesting.
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transnormal function
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focal variety
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tube
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submanifold
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Morse index
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