Spectral Flow, Llarull's Rigidity Theorem in Odd Dimensions and its Generalization

Yihan Li, Guangxiang Su, Xiangsheng Wang

For a compact spin Riemannian manifold $(M,g^{TM})$ of dimension $n$ such that the associated scalar curvature $k^{TM}$ verifies that $k^{TM}⩾n(n-1)$, Llarull's rigidity t…