4 citations · 7 across the 6 of their papers we have counts for
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math.DG2023★ 1 cited
Sub-Finsler geometry and nonholonomic mechanics
Layth M. Alabdulsada
We discuss a variational approach to the length functional and its relation to sub-Hamiltonian equations on sub-Finsler manifolds. Then, we introduce the notion of the nonholonomic…
math.DG2023★ 2 cited
Hopf-Rinow Theorem of sub-Finslerian geometry
Layth M. Alabdulsada, Laszlo Kozma
The sub-Finslerian geometry means that the metric is defined only on a given subbundle of the tangent bundle, called a horizontal bundle. In the paper, a version of the Hopf-Ri…