2 problems

Let $u$ be the parameter defining the box $\operatorname{BP}_u$, let $W_u:=\operatorname{BP}_u\cap\\{(x,y,z):|x|\leqslant 1\\}$, and let $\partial W_u$ be its boundary. Let…

Let $\mathbb{W} \subset \mathbb{H}$ be a vertical subgroup with complementary subgroup $\mathbb{V}$, and let $\phi \colon \mathbb{W} \to \mathbb{V}$ be an intrinsic Lipschitz funct…