22 citations · 35 across the 8 of their papers we have counts for
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math.DG2016
Left-invariant Sub-Riemannian Engel structures: abnormal geodesics and integrability
Ivan Beschastnyi, Alexandr Medvedev
We provide the first known family of examples of integrable homogeneous sub-Riemannian structures admitting strictly abnormal geodesics. These examples were obtained through the an…
math.DG2016★ 1 cited
3-dimensional left-invariant sub-Lorentzian contact structures
Marek Grochowski, Alexandr Medvedev, Ben Warhurst
We provide a classification of -invariant sub-Lorentzian structures on dimensional contact Lie groups. Our approach is based on invariants arising form the construction of…