论文标题
纤维束上的阳性中间RICCI曲率
Positive Intermediate Ricci Curvature on Fibre Bundles
论文作者
论文摘要
我们证明了具有正中间RICCI曲率阳性的浸没指标的规范变异型结果。然后，可以与手术技术结合使用，以建立具有阳性ricci曲率呈阳性的指标的存在，这些指标在广泛的示例中，以前仅众所周知，这些示例才能接受阳性的RICCI曲率，例如高度连接的歧管和外来球体。此外，我们将第二作者的结果扩展到具有阳性RICCI曲率的指标的模量空间到阳性的中间RICCI曲率。
We prove a canonical variation-type result for submersion metrics with positive intermediate Ricci curvatures. This can then be used in conjunction with surgery techniques to establish the existence of metrics with positive intermediate Ricci curvatures on a wide range of examples which had previously only been known to admit positive Ricci curvature, such as highly connected manifolds and exotic spheres. Further, we extend results of the second author on the moduli space of metrics with positive Ricci curvature to positive intermediate Ricci curvatures.
