Level surfaces of non-degenerate functions in \(\mathbb{R}^{n+1}\) (Q1332624)

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scientific article; zbMATH DE number 627549
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Level surfaces of non-degenerate functions in \(\mathbb{R}^{n+1}\)
scientific article; zbMATH DE number 627549

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    Level surfaces of non-degenerate functions in \(\mathbb{R}^{n+1}\) (English)
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    1 February 1995
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    A canonical vector field \(\widetilde{E}\) for level surfaces of a non- degenerate function \(\varphi\) and certain characterizations of \(\varphi\) when \(\widetilde{E}\) is transversal are given. The difference between \(\widetilde{E}\) and the affine normal \(\overline{E}\) is considered.
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    level surface
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    affine normal
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    transversal vector field
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