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Local equivalence of Sacksteder and Bourgain hypersurfaces - MaRDI portal

Local equivalence of Sacksteder and Bourgain hypersurfaces (Q5957959)

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scientific article; zbMATH DE number 1719287
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Local equivalence of Sacksteder and Bourgain hypersurfaces
scientific article; zbMATH DE number 1719287

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    Local equivalence of Sacksteder and Bourgain hypersurfaces (English)
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    16 February 2003
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    Consider tangentially degenerate submanifolds of \(\mathbb{R}^4\) which are noncylindrical and without singularities. The authors analyse an hypersurface (unpublished) by J. Bourgain, proving that its singularities lie in the hyperplane at infinity of \(\mathbb{R}^4\). Furthermore that hypersurface in locally equivalent to one example of R. Sacksteder (ca. 1960).
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    locally equivalent
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    hypersurfaces
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