标题： 自旋$(2,n-1)_0$-伪黎曼流形协边的存在性结果 显示英文标题

标题： Existence results of Spin$(2,n-1)_0$-pseudo-Riemannian cobordisms

摘要： 本文中，我们研究了存在具有非奇异且非退化的指标为$(2, n - 1)$的伪黎曼度量的 Spin $(n + 1)$维协边的充要条件，该度量限制在边界上为非奇异的时间可定向洛伦兹度量。 相应的协边群被计算出来。 显示英文摘要

摘要： In this note, we study necessary and sufficient conditions for the existence of a Spin $(n + 1)$-dimensional cobordism that supports a non-singular and non-degenerate pseudo-Riemannian metric of signature $(2, n - 1)$, which restricts to a non-singular time-orientable Lorentzian metric on its boundary. The corresponding cobordism groups are computed.