On the classification of sub-Riemannian structures on a 5D two-step nilpotent Lie group
نویسندگان
چکیده
We classify the left-invariant sub-Riemannian structures on unique five-dimensional simply connected two-step nilpotent Lie group with two-dimensional commutator subgroup; this 5D is first twostep beyond three-and Heisenberg groups. Alongside, we also present a classification, up to automorphism, of subspaces associated algebra (together complete set invariants).
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ژورنال
عنوان ژورنال: Communications in Mathematics
سال: 2023
ISSN: ['2336-1298', '1804-1388']
DOI: https://doi.org/10.46298/cm.10550