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


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2018-08

AUTHORS

Nicola Gigli, Chiara Rigoni

ABSTRACT

We prove that if the dimension of the first cohomology group of a RCD∗(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. More... »

PAGES

104

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00526-018-1377-z

DOI

http://dx.doi.org/10.1007/s00526-018-1377-z

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1104554313


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