Geometric Analysis and Curvature Flows
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Scope of this subject
This cluster of papers explores the mathematical theory and applications of optimal transport, including topics such as Ricci curvature, Wasserstein distance, metric measure spaces, gradient flows, Sobolev inequalities, the Monge-Kantorovich problem, mean curvature flow, and minimal surfaces.
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Research vocabulary
minimal surfaces; Riemannian manifolds; optimal transport; mean curvature flow; Ricci flow; metric measure spaces; Ricci curvature; harmonic maps; mean curvature; isoperimetric inequality; Plateau problem; constant mean curvature surfaces; complete Riemannian manifolds; gradient flow; geometric measure theory; Ricci curvature lower bound; Poincaré inequality; heat kernel; compact Riemannian manifolds; scalar curvature; second fundamental form; sub-Riemannian geometry; constant mean curvature; logarithmic Sobolev inequality; gradient estimates
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Numeric address and provenance
Morton address: 36108823144590393 · morton4x16-v1
Coordinates: (3, 26, 2604, 10229). The address interleaves categorical identifier bits. Nearby addresses are not guaranteed to describe semantically similar subjects.
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