C. Rigoni

activity

20172022

most citedRecognizing the flat torus among

R C D^{*} (0, N)

spaces via the study of the first cohomology group

7 citations · 15 across the 8 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.MG2017

A note about the strong maximum principle on $R C D$ spaces

Nicola Gigli, Chiara Rigoni

We give a quick and direct proof of the strong maximum principle on finite dimensional $R C D$ spaces based on the Laplacian comparison of the squared distance.

math.DG2017★ 7 cited

Recognizing the flat torus among $R C D^{*} (0, N)$ spaces via the study of the first cohomology group

Nicola Gigli, Chiara Rigoni

We prove that if the dimension of the first cohomology group of a $R C D^{*} (0, N)$ space is $N$ , then the space is a flat torus. This generalizes a classical result due to Bochner to t…

A note about the strong maximum principle on RCD spaces

Recognizing the flat torus among RCD∗(0,N) spaces via the study of the first cohomology group

A note about the strong maximum principle on $R C D$ spaces

Recognizing the flat torus among $R C D^{*} (0, N)$ spaces via the study of the first cohomology group