论文标题
Busemann空间的拓扑分解
A topological decomposition of Busemann space
论文作者
论文摘要
我们表明,由平行双 - 融合的大地测量公司覆盖的Busemann Space $ X $对于另一个Busemann Space $ y $和真实行的产品是同质的。我们还表明,通过平行的大地测量学在$ y $上诱导$ y $ y $ y $ y $ y $ y $的$ x $上的半简单等轴测图。
We show that a Busemann space $X$ which is covered by parallel bi-infinite geodesics is homeomorphic to a product of another Busemann space $Y$ and the real line. We also show that a semi-simple isometry on $X$ preserving the foliation by parallel geodesics canonically induces a semi-simple isometry on $Y$.