Horospheric foliations and relative pinching (Q1324788)
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scientific article; zbMATH DE number 575941
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Horospheric foliations and relative pinching |
scientific article; zbMATH DE number 575941 |
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Horospheric foliations and relative pinching (English)
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4 July 1994
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\textit{M. W. Hirsch} and \textit{C. C. Pugh} [J. Differ. Geom. 10, 225-238 (1975; Zbl 0312.58008)] showed that 1/4-pinching of curvature in negative curvature produces differentiability of the horospheric foliations. This can be strengthened to obtain regularity up to \(C^{2-\varepsilon}\) as the curvature becomes almost constant. This paper shows that sufficient relative curvature pinching provides regularity of the horospheric foliations up to \(C^{2-\varepsilon}\).
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negative curvature
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pinching
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Anosov flows
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horospheric foliations
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0.86302775
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