Homological (n-2)-systole in n-manifolds with positive triRic curvature
Abstract
In this paper, we prove an optimal systolic inequality and characterize the case of equality on closed Riemannian manifolds with positive triRic curvature. This extends prior work of Bray-Brendle-Neves BrayBrenleNevesrigidity and Chu-Lee-Zhu chuleezhunsystole to higher codimensions. The proof relies on the notion of stable weighted k-slicing, a weighted volume comparison theorem and metric-deformation.
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