SPHERE THEOREMS FOR RCD SPACES

Shouhei Honda (1) , Ilaria Mondello (2)

1 Tohoku University [Sendai]
2 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

We prove topological sphere theorems for RCD(n − 1, n) spaces which generalize Colding's results and Petersen's result to the RCD setting. Such results allow us to get an improved sphere theorem in the case of Einstein stratified spaces.

Domaines: Géométrie différentielle [math.DG]

Shouhei Honda, Ilaria Mondello. SPHERE THEOREMS FOR RCD SPACES. 2019. ⟨hal-02176549⟩