Abstract
We show that a Busemann space $X$ 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 $Y$.
Funding Statement
The author was supported by JSPS KAKENHI Grant Number JP19K03471.
Citation
Tomohiro FUKAYA. "A topological product decomposition of Busemann space." J. Math. Soc. Japan 76 (1) 269 - 281, January, 2024. https://doi.org/10.2969/jmsj/89738973
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