浸没在压井液中的局部凸表面
Locally convex surfaces immersed in a Killing submersion
摘要：
本文将Hadamard-Stoker-Currier定理推广到Killing浸没曲面上，并将其推广到纤维为Killing场轨迹的严格Hadamard曲面上。我们证明，每一个完整的表面，其主曲率是大于一定的功能（取决于周围的流形）在每一点上，必须适当地嵌入，同胚的领域或平面，在后者的情况下，我们研究的行为结束。
英文摘要：
We generalize Hadamard-Stoker-Currier Theorems for surfaces immersed in a Killing submersion over a strictly Hadamard surface whose fibers are the trajectories of a unit Killing field. We prove that every complete surface whose principal curvatures are greater than a certain function (depending on the ambient manifold) at each point, must be properly embedded, homeomorphic to the sphere or to the plane and, in the latter case, we study the behavior of the end.
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。
