关于具有对称性的Hopf猜想的推广
On a generalized conjecture of Hopf with symmetry
摘要：
霍普夫的一个著名猜想是，二维球面与自身的乘积不允许有正截面曲率的黎曼度量。更一般地说，人们可以猜想这对任何非平凡的乘积都成立。我们提供的证据，这一广义猜想的对称性的存在。
英文摘要：
A famous conjecture of Hopf is that the product of the two-dimensional sphere with itself does not admit a Riemannian metric with positive sectional curvature. More generally, one may conjecture that this holds for any nontrivial product. We provide evidence for this generalized conjecture in the presence of symmetry.
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。
