论文标题
中间曲率的H空间和循环空间结构
H-Space and Loop Space Structures for Intermediate Curvatures
论文作者
论文摘要
For dimensions $n\geq 3$ and $k\in\{2, \cdots, n\}$, we show that the space of metrics of $k$-positive Ricci curvature on the sphere $S^{n}$ has the structure of an $H$-space with a homotopy commutative, homotopy associative product operation.我们进一步显示，使用董事会，沃格特（Vogt）的作战理论和结果理论，并可能表明，包含圆形度量的该空间的路径成分相当于$ n $倍回路空间的弱均值。
For dimensions $n\geq 3$ and $k\in\{2, \cdots, n\}$, we show that the space of metrics of $k$-positive Ricci curvature on the sphere $S^{n}$ has the structure of an $H$-space with a homotopy commutative, homotopy associative product operation. We further show, using the theory of operads and results of Boardman, Vogt and May that the path component of this space containing the round metric is weakly homotopy equivalent to an $n$-fold loop space.
