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math.MG2023★ 2 cited
Measure contraction property, curvature exponent and geodesic dimension of sub-Finsler -Heisenberg groups
Samuël Borza, Kenshiro Tashiro
We initiate the study of synthetic curvature-dimension bounds in sub-Finsler geometry. More specifically, we investigate the measure contraction property , and…
math.DG2023
Normal forms for the sub-Riemannian exponential map of , , and
Samuël Borza
The goal of this paper is to use singularity theory to find normal forms near the critical points of the sub-Riemannian exponential map. Three cases are studied: the -Grushin pl…