论文标题
borsuk-ulam定理，$ 3 $ - manifolds具有几何$ s^2 \ times \ r $
The Borsuk-Ulam theorem for closed $3$-manifolds having geometry $S^2\times \R$
论文作者
论文摘要
让$ m $为封闭的3个manifold，它承认几何$ s^2 \ times \ r $。在这项工作中，我们确定了$ m $上的所有免费定价$τ$，以及$（m，τ）$的Borsuk-ulam指数。
Let $M$ be a closed 3-manifold which admits the geometry $S^2\times \R$. In this work we determine all the free involutions $τ$ on $M$, and the Borsuk-Ulam index of $(M,τ)$.
