论文标题
仿射歧管的测地线连接性
Geodesic Connectedness of Affine Manifolds
论文作者
论文摘要
我们讨论了新的足够条件，在该条件下，仿射歧管$（m，\ nabla）$是通过地球连接的。这些条件与Beem和Parker在开创性工作中所讨论的工作相比，在亚历山大和Karr的最新工作中，这些条件本质上要弱，并具有额外的优势，即它们产生了主要结果的基本证明。
We discuss new sufficient conditions under which an affine manifold $(M,\nabla)$ is geodesically connected. These conditions are shown to be essentially weaker than those discussed in groundbreaking work by Beem and Parker and in recent work by Alexander and Karr, with the added advantage that they yield an elementary proof of the main result.
