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arXiv · 2608.03405

Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity

Chao-Ming Lin·Kai-Hsiang Wang
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Abstract

We introduce a weighted version of intermediate Ricci curvature and establish several equivalent characterizations of its lower bound. As an application, we generalize the results of Aishwarya--Rotem--Shenfeld [arXiv:2509.23399v1] by deriving intrinsic-dimensional evolution variational inequalities and the corresponding Wasserstein contraction estimates for the heat flow. We also compare our characterization with that of Ketterer--Mondino [arXiv:1610.03339v3] via lower-dimensional optimal transport.

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Chao-Ming Lin, Kai-Hsiang Wang. 2026-08-04. Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity. https://arxiv.org/abs/2608.03405

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