$M\times\mathbb R$中理想Scherk图的半空间定理
A half-space theorem for ideal Scherk graphs in $M\times\mathbb R$
摘要：
本文证明了多边形区域$D\subset M,$上理想Scherk图$Σ\subset M\times\mathbb R$的半空间定理，其中$M$是曲率上界为负常数的Hadamard曲面.更精确地说，我们证明了包含在$D\times\mathbb R$中且与$Σ$不相交的适当浸入极小曲面是$Σ.$的平移
英文摘要：
We prove a half-space theorem for an ideal Scherk graph $Σ\subset M\times\mathbb R$ over a polygonal domain $D\subset M,$ where $M$ is a Hadamard surface whose curvature is bounded above by a negative constant. More precisely, we show that a properly immersed minimal surface contained in $D\times\mathbb R$ and disjoint from $Σ$ is a translate of $Σ.$
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
