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The quasi curvature-dimension condition with applications to sub-Riemannian mani- folds

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Universal non-CD of sub-Riemannian manifolds

math.DG · 2025-07-01 · unverdicted · novelty 6.0

Sub-Riemannian manifolds with full-support measures are never CD(K,N) unless Riemannian, and new cone-Grushin RCD spaces on R^n are constructed that are not sub-Riemannian.

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  • Universal non-CD of sub-Riemannian manifolds math.DG · 2025-07-01 · unverdicted · none · ref 37

    Sub-Riemannian manifolds with full-support measures are never CD(K,N) unless Riemannian, and new cone-Grushin RCD spaces on R^n are constructed that are not sub-Riemannian.