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• W3215754316 abstract "Given a surface S in a 3D contact sub-Riemannian manifold M , we investigate the metric structure induced on S by M , in the sense of length spaces. First, we define a coefficient K ̂ at characteristic points that determines locally the characteristic foliation of S . Next, we identify some global conditions for the induced distance to be finite. In particular, we prove that the induced distance is finite for surfaces with the topology of a sphere embedded in a tight coorientable distribution, with isolated characteristic points." @default.
• W3215754316 created "2021-12-06" @default.
• W3215754316 creator A5012657462 @default.
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• W3215754316 date "2022-01-01" @default.
• W3215754316 modified "2023-10-01" @default.
• W3215754316 title "On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds" @default.
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• W3215754316 doi "https://doi.org/10.1051/cocv/2021104" @default.
• W3215754316 hasPublicationYear "2022" @default.
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