A note on local isometric imbeddings of complex projective spaces (Q1096193)
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scientific article; zbMATH DE number 4030453
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on local isometric imbeddings of complex projective spaces |
scientific article; zbMATH DE number 4030453 |
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A note on local isometric imbeddings of complex projective spaces (English)
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1987
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The author proves that an n-dimensional complex projective space \(P_ n({\mathbb{C}})\) with the standard Kähler metric cannot be isometrically immersed into \({\mathbb{R}}^{2n+k}\) even locally if \(k<(6n-4)/5\).
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isometric immersion
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complex projective space
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Kähler metric
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