Abstract:Let~$S^{n-1}\rightarrow E \rightarrow M^n$ be an oriented sphere bundle supporting an affine transverse foliation.
We give an upper bound for the Euler number of the bundle.
We also give a new and elementary proof of the following fact: if the fundamental group of $M^n$ is amenable, then the Euler number of the bundle vanishes.
From: Gayane Panina Mrs [view email]
[v1]
Sun, 1 Mar 2026 12:53:04 UTC (52 KB)
[v2]
Thu, 28 May 2026 07:20:17 UTC (27 KB)
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