On tori without conjugate points (Q1895678)
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scientific article; zbMATH DE number 784001
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On tori without conjugate points |
scientific article; zbMATH DE number 784001 |
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On tori without conjugate points (English)
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13 August 1995
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The authors prove that a Riemannian metric on the \(n\)-torus is flat if it does not have conjugate points and the corresponding Heber foliation is Lipschitz. This is a special case of the so-called Hopf conjecture, which was proved recently by \textit{D. Burago} and \textit{S. Ivanov} [Geom. Funct. Anal. 4, No. 3, 259-269 (1994; Zbl 0808.53038)].
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flat torus
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conjugate points
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Hopf conjecture
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