Regularity of Lipschitz boundaries with prescribed sub-Finsler mean curvature in the Heisenberg group H1
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DOI: 10.1016/j.jde.2021.08.040
Abstract: For a strictly convex set K ⊂ R of class C we consider its associated sub-Finsler K-perimeter |∂E|K in H 1 and the prescribed mean curvature functional |∂E|K − ∫ E f associated to a… read more here.
Keywords: lipschitz; regularity; mean curvature; sub finsler ... See more keywords
Sub-Finsler Problem on the Cartan Group
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DOI: 10.1134/s1064562419010071
Abstract: A left-invariant $${{l}_{\infty }}$$-sub-Finsler problem on Cartan group is treated as a time-optimal control problem. Abnormal and singular normal trajectories are described, and their optimality is proved. A bang-bang phase flow is constructed, and estimates… read more here.
Keywords: sub finsler; problem; problem cartan; finsler problem ... See more keywords
Euclidean rectifiability of sub-Finsler spheres in free-Carnot groups of step 2
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DOI: 10.1215/00192082-11996759
Abstract: We consider 2-step free-Carnot groups equipped with sub-Finsler distances. We prove that the metric spheres are codimension-one rectifiable from the Euclidean viewpoint. The result is obtained by studying how the Lipschitz constant for the distance… read more here.
Keywords: euclidean rectifiability; free carnot; carnot groups; sub finsler ... See more keywords
On an evolution equation in sub-Finsler geometry
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DOI: 10.1515/agms-2024-0012
Abstract: Abstract We study the gradient flow of an energy with mixed homogeneity, which is at the interface of Finsler and sub-Riemannian geometry. read more here.
Keywords: equation sub; finsler; geometry; sub finsler ... See more keywords