Ontology type: schema:ScholarlyArticle
2018-08
AUTHORS ABSTRACTWe 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... »
PAGES104
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