A weighted intermediate Ricci curvature lower bound is characterized by tensorial Bochner inequalities and entropy-tensor convexity, yielding intrinsic-dimensional Wasserstein contraction estimates for the heat flow.
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Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity
A weighted intermediate Ricci curvature lower bound is characterized by tensorial Bochner inequalities and entropy-tensor convexity, yielding intrinsic-dimensional Wasserstein contraction estimates for the heat flow.