@article {Gigli2018,
	title = {Recognizing the flat torus among RCD*(0,N) spaces via the study of the first cohomology group},
	journal = {Calculus of Variations and Partial Differential Equations},
	volume = {57},
	number = {4},
	year = {2018},
	month = {Jun},
	pages = {104},
	abstract = {<p>We prove that if the dimension of the first cohomology group of a $\mathsf{RCD}^\star (0,N)$ space is $N$, then the space is a flat torus. This generalizes a classical result due to Bochner to the non-smooth setting and also provides a first example where the study of the cohomology groups in such synthetic framework leads to geometric consequences.</p>},
	issn = {1432-0835},
	doi = {10.1007/s00526-018-1377-z},
	url = {https://doi.org/10.1007/s00526-018-1377-z},
	author = {Nicola Gigli and Chiara Rigoni}
}
