Generalization of Kähler angle and integral geometry in complex projective spaces (Q2733958)
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scientific article; zbMATH DE number 1633278
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalization of Kähler angle and integral geometry in complex projective spaces |
scientific article; zbMATH DE number 1633278 |
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2 September 2001
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Poincaré formula
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Kähler angle
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homogeneous space
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Generalization of Kähler angle and integral geometry in complex projective spaces (English)
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The author generalizes the notion of Kähler angle introducing the notion multiple Kähler angle'', which characterizes the orbit of the action of the unitary group on the real Grassmann manifold. Using multiple Kähler angles and the Poincaré formulas obtained by R. Howard, the author formulates Poincaré formulas of any real submanifold in the complex projective spaces. In the cases of low dimensions, he describes the Poincaré formulas in a more explicit way.NEWLINENEWLINEFor the entire collection see [Zbl 0966.00031].
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