论文标题
宇宙学模型中的全球双曲和分解
Global hyperbolicity and factorization in cosmological models
论文作者
论文摘要
本文的主题是宇宙学空间的几何形状和拓扑结构和矢量束,它们用于建模宇宙中传播的物理领域。现在,通常独立假定的时空束和向量束的全局双曲线和分解特性,现在根据差异几何学和拓扑的最新进展而得出了一组最小的假设集。
The subject of the paper is the geometry and topology of cosmological spacetimes and vector bundles thereon, which are used to model physical fields propagating in the universe. Global hyperbolicity and factorization properties of the spacetime and the vector bundle that are usually independently assumed to hold, are now derived from a minimal set of assumptions based on the recent progress in differential geometry and topology.