A topological decomposition of Busemann space

Tomohiro Fukaya

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arXiv · 2206.01924

A topological decomposition of Busemann space

Tomohiro Fukaya

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Abstract

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 $Y$.

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BibTeX RIS

Tomohiro Fukaya. 2022-06-04. A topological decomposition of Busemann space. https://arxiv.org/abs/2206.01924

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