On the role of the Burstin-Mayer metric for surfaces in \(\mathbb{R}^ 4\) (Q1895229)
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scientific article; zbMATH DE number 785208
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the role of the Burstin-Mayer metric for surfaces in \(\mathbb{R}^ 4\) |
scientific article; zbMATH DE number 785208 |
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On the role of the Burstin-Mayer metric for surfaces in \(\mathbb{R}^ 4\) (English)
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17 January 1996
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There exist different approaches for a theory of non-degenerate surfaces in affine \(A\)-space; the first is due to Burstin and Mayer who introduced a unimodular invariant metric. The author of this paper investigates the (non-) existence of elliptic points for this metric from a local and global viewpoint. [Reviewer's remark: An editorial survey on the different approaches will be contained in the 1995 Proceedings ``Geometry and Topology of Submanifolds VIII'', World Scientific, to appear].
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affine surfaces in \(A\)-space
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affine metric
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existence of elliptic points
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