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FIELD GUIDE

Differential geometry

Differential geometry

Official catalogue 333–361.

Open the official catalogue · p. 36 ↗

Catalogues in this field

Official catalogue numbers
356

Gigli’s characterization of Alexandrov curvature

The two papers establish the equivalence between Gigli’s distributional curvature lower bound and an Alexandrov lower curvature bound, together with the weak-Hessian theorem used in the converse.

All 2 overviews available

The catalogue synthesis connects the results, proof strategies, and theorems used across these manuscripts.

Explore the synthesis and connections
Proof overviews (2)Official catalogue order
  1. Gigli’s distributional curvature characterization of Alexandrov spaces
  2. Weak Hessian bounds along every geodesic in RCD spaces

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