Curvature exponent and geodesic dimension on Sard-regular Carnot groups (Q6613012)

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scientific article; zbMATH DE number 7920881
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Curvature exponent and geodesic dimension on Sard-regular Carnot groups
scientific article; zbMATH DE number 7920881

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    Curvature exponent and geodesic dimension on Sard-regular Carnot groups (English)
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    1 October 2024
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    The authors study the link between the homogeneous dimension, the curvature exponent and the geodesic dimension of Sard-regular Carnot groups, which includes Carnot groups of step \(2\). Moreover, they give an example where the inequality between the curvature exponent and the geodesic dimension is strict.
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    Carnot groups
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    curvature exponent
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    geodesic dimension
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