论文标题
全球障碍在六个维度上以爱因斯坦指标的共同障碍
Global obstructions to conformally Einstein metrics in dimension six
论文作者
论文摘要
我们在封闭的六杆上呈现了全球形式的不变性，这阻碍了爱因斯坦公制的存在。我们表明，这种障碍是非平凡的，直到乘以常数为繁殖，都是这种不变的独特之处。这也引起了（可能是微不足道的）差异不变，阻碍了爱因斯坦度量的存在。我们还讨论了全球形式不变的不变剂，这些不变性妨碍了与无限基本组的六个模型中的共同爱因斯坦度量的存在。
We present a global conformal invariant on closed six-manifolds which obstructs the existence of a conformally Einstein metric. We show that this obstruction is nontrivial and, up to multiplication by a constant, is the unique such invariant. This also gives rise to a (possibly trivial) diffeomorphism invariant which obstructs the existence of an Einstein metric. We also discuss global conformal invariants which obstruct the existence of a conformally Einstein metric on closed six-manifolds with infinite fundamental group.
