2020Advanced studies in pure mathematicsRequires access

Rigidity for positive Ricci curvature via metric measure geometry

Shouhei Honda

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Abstract

<!-- *** Custom HTML *** --> In this survey we introduce a main result in [AH17], which gives an almost rigidity related to positive Ricci curvature via $\operatorname{RCD}$ theory. This is new even for cloased Riemannian manifolds.

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<!-- *** Custom HTML *** --> In this survey we introduce a main result in [AH17], which gives an almost rigidity related to positive Ricci curvature via $\operatorname{RCD}$ theory. This is new even for cloased Riemannian manifolds.

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Available abstract

<!-- *** Custom HTML *** --> In this survey we introduce a main result in [AH17], which gives an almost rigidity related to positive Ricci curvature via $\operatorname{RCD}$ theory. This is new even for cloased Riemannian manifolds.

Key concepts: Rigidity (electromagnetism), Ricci curvature, Curvature, Curvature of Riemannian manifolds, Mathematics, Measure (data warehouse), Metric (unit), Ricci flow

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