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math.DG2026
Positive sectional curvature on homotopy nine-spheres
Zhiqi Chen, Shaoqiang Deng, Junna Ni +1
We determine which homotopy nine-spheres admit positive sectional curvature: they are precisely the four smooth types with vanishing real Dirac index. The other four admit no metri…
math.DG2026
Generalized scalar curvature and Ricci flow on compact Lie groups
Zhiqi Chen, Jianhua Yu, Huibin Chen +1
Let be a compact connected semisimple Lie group, let be a bi-invariant metric and let be its Cartan three-form. We prove that every left-invariant generalized Ricci flo…