One Dimensional Asymptotic Plateau Problem in $n$-Dimensional Asymptotically Conical Manifolds

Jiayin Liu, Shijin Zhang, Yuan Zhou

Let $(M,g)$ be an asymptotically conical Riemannian manifold having dimension $n\ge 2$, opening angle $\alpha \in (0,\pi /2)\setminus \{\arcsin \frac{1}{2k+1}{\}}_{k\in \mathbb{N}}$ and pos…