Rigidity and deformation spaces of strictly convex real projective structures on compact manifolds (Q1424011)
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scientific article; zbMATH DE number 2052876
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rigidity and deformation spaces of strictly convex real projective structures on compact manifolds |
scientific article; zbMATH DE number 2052876 |
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Rigidity and deformation spaces of strictly convex real projective structures on compact manifolds (English)
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8 March 2004
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The author shows that two strictly convex, compact real projective manifolds are projectively equivalent, provided they have the same marked length spectrum with respect to the Hilbert distance. As in the case of \(\text{CAT}(-1)\) spaces a central idea is, to study the cross ratio on the ideal boundary of the universal covering.
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marked length spectrum
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rigidity
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real projective manifolds
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