在$(4,3)$、$(8,5)$和$(16,9)$维中具有多个临界点的光滑映射的例子
Examples of smooth maps with finitely many critical points in dimensions $(4,3)$, $(8,5)$ and $(16,9)$
摘要：
我们考虑流形$M^{2n}$，它允许光滑映射到$S^1\times S^n$的连通和中，对于$n\in\{2,4,8\}$，只有1000个临界点，并计算最少的临界点。
英文摘要：
We consider manifolds $M^{2n}$ which admit smooth maps into a connected sum of $S^1\times S^n$ with only finitely many critical points, for $n\in\{2,4,8\}$, and compute the minimal number of critical points.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
