A topological product decomposition of Busemann space
キーワード:
non-positively curved spaces
2024 年 76 巻 1 号 p. 269-281
詳細
2024 年 76 巻 1 号 p. 269-281
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.
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