Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry (Q6185358)
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scientific article; zbMATH DE number 7784787
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry |
scientific article; zbMATH DE number 7784787 |
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Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry (English)
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8 January 2024
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The authors ``prove that the sub-Riemannian exponential map is not injective in any neighbourhood of certain critical points''. They start by explaining the historical background of this topic in the context of Finsler geometry; then, they thoroughly compare their achievement with analogous results in the context of Riemannian geometry and discuss open problems.
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sub-Riemannian manifolds
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exponential map
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conjugate points
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