212 citations · 625 across the 54 of their papers we have counts for
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math.DG2020★ 3 cited
Sub-Riemannian Ricci curvature via generalized Gamma calculus
Qi Feng, Wuchen Li
We derive sub-Riemannian Ricci curvature tensor for sub-Riemannian manifolds. We provide examples including the Heisenberg group, displacement group, and Martinet sub-Riemannian st…
math.DG2020★ 15 cited
Hessian metric via transport information geometry
Wuchen Li
We propose to study the Hessian metric of a functional on the space of probability measures endowed with the Wasserstein -metric. We name it transport Hessian metric, which cont…