On One-Parameter Families of Dido Riemannian Problems

Moussa Balde

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On One-Parameter Families of Dido Riemannian Problems

Moussa Balde

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Abstract

Locally, isoperimetric problems on Riemannian surfaces are sub-Riemannian problems in dimension 3. The particular case of Dido problems corresponds to a class of singular contact sub-Riemannian metrics : metrics which have the charateristic vertor field as symmetry. We give a classification of the generic conjugate loci (i.e. classification of generic singularities of the exponential mapping) of a 1-parameter family of 3-d contact sub-Riemannian metrics associated to a 1-parameter family of Dido Riemannian problems.

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Moussa Balde. 1999-12-07. On One-Parameter Families of Dido Riemannian Problems. https://arxiv.org/abs/math/9912057

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