| Symbol |
Description |
Location |
| \(G\) |
Lie group |
Definition 2.1 |
| \(\mathfrak{g}\) |
Lie algebra of a Lie group |
Definition 2.1 |
| \(V_1\oplus\dots\oplus V_s\) |
stratification of a Lie algebra |
Definition 2.1 |
| \(\delta_{\dilationfactor}\) |
dilation by a factor \(\dilationfactor\in\RR\) |
Definition 2.2 |
| \(\norm{\cdot}_d\) |
projection norm associated with a homogeneous distance |
Definition 2.4 |
| \(L_g\) |
left-translation by a group element \(g\in G\) |
Definition 2.9 |
| \(u\) |
control of a horizontal curve |
Definition 2.9 |
| \(\gamma_\dilationfactor\) |
a curve dilated and reparametrized by a factor \(\dilationfactor>0\) |
Lemma 2.12 |
| \(\partial E(Y)\) |
family of subdifferentials of a function \(E\) at a point \(Y\) |
Definition 2.17 |