On the Kähler geometry of the Hilbert-Schmidt Grassmannian (Q1824254)
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scientific article; zbMATH DE number 4117491
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Kähler geometry of the Hilbert-Schmidt Grassmannian |
scientific article; zbMATH DE number 4117491 |
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On the Kähler geometry of the Hilbert-Schmidt Grassmannian (English)
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1989
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In this paper the author considers a geometry of some infinite- dimensional manifolds. He computes the Riemann curvature tensor of the Hilbert-Schmidt Grassmannian endowed with its natural Kähler structure. It is shown that the sectional curvature is non-negative, but not strictly. The author proves also that the sectional curvature of the Hilbert-Schmidt space of almost complex structures is non-positive, but not strictly.
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Kähler geometry
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Riemann curvature
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Hilbert-Schmidt Grassmannian
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Hilbert-Schmidt space
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