Real-analytic sub-Riemannian manifolds are constructed with minimizing geodesics that exhibit interior singularities and branching; similar non-smooth branching geodesics exist in Carnot groups via lifting.
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Interior singularity and branching of geodesics in real-analytic sub-Riemannian manifolds
Real-analytic sub-Riemannian manifolds are constructed with minimizing geodesics that exhibit interior singularities and branching; similar non-smooth branching geodesics exist in Carnot groups via lifting.