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.
Measure contraction property and curvature-dimension condition on sub-Finsler Heisenberg groups, 2024
3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
Sub-Riemannian manifolds with full-support measures are never CD(K,N) unless Riemannian, and new cone-Grushin RCD spaces on R^n are constructed that are not sub-Riemannian.
Rigidity and structure theorems for Busemann spaces with MCP measures under geodesic completeness or non-collapse assumptions.
citing papers explorer
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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.
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Universal non-CD of sub-Riemannian manifolds
Sub-Riemannian manifolds with full-support measures are never CD(K,N) unless Riemannian, and new cone-Grushin RCD spaces on R^n are constructed that are not sub-Riemannian.
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Busemann and MCP
Rigidity and structure theorems for Busemann spaces with MCP measures under geodesic completeness or non-collapse assumptions.