T. Richard - Advanced basics of Riemannian geometry 1

Thomas Richard (1) , Fanny Bastien (2) , Hugo Béchet (2)

1 UPEC UP12 - Université Paris-Est Créteil Val-de-Marne - Paris 12
2 IF - Institut Fourier

We will present some of the tools used by the more advanced lectures. The topics discussed will include : Gromov Hausdorff distance, comparison theorems for sectional and Ricci curvature, the Bochner formula and basics of Ricci flow.

Mots clés: eem2021; grenoble; curvature constraints and spaces of metrics; Riemannian geometry

Mots clés: contraintes de courbures et espaces métriques

Domaines: Mathématiques [math]

Thomas Richard, Fanny Bastien, Hugo Béchet. T. Richard - Advanced basics of Riemannian geometry 1: Summer School 2021 - Curvature Constraints and Spaces of Metrics. 2021. ⟨hal-03323091⟩