We study the local geometry of the sub-Finsler structure induced by a sub-Riemannian metric on a 3-dimensional manifold. We provide a description of the upper part of the cut locus of short geodesics, in some non generic cases.
Local L1 Sub-Finsler geometry in dimension 3: non-generic cases / Harrache, Fazia; Chittaro, Francesca C.; Aidéne, Mohamed. - In: JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS. - ISSN 1079-2724. - 29:4(2023), pp. 1867-1927. [10.1007/s10883-023-09660-2]
Local L1 Sub-Finsler geometry in dimension 3: non-generic cases
Francesca C. Chittaro;
2023-01-01
Abstract
We study the local geometry of the sub-Finsler structure induced by a sub-Riemannian metric on a 3-dimensional manifold. We provide a description of the upper part of the cut locus of short geodesics, in some non generic cases.File in questo prodotto:
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