Compact centroaffine spheres of codimension 2 (Q1190290)
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scientific article; zbMATH DE number 57255
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compact centroaffine spheres of codimension 2 |
scientific article; zbMATH DE number 57255 |
Statements
Compact centroaffine spheres of codimension 2 (English)
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27 September 1992
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The author continues his study of centroaffine submanifolds of codimension two in \(\mathbb{R}^ m\) from [the author, ibid. 13, No. 3/4, 386- 402 (1988; Zbl 0649.53007)] where he introduced a canonical normal space. In the compact case the author proves some Minkowski type integral formulas. As application he gets a characterization of ellipsoids within the class of affine spheres of codimension 2.
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affine spheres
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centroaffine submanifolds
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codimension two
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Minkowski type integral formulas
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