We prove that ‘volume cone implies metric cone’ in the setting of RCD spaces, thus generalising to this class of spaces a well known result of Cheeger–Colding valid in Ricci-limit spaces. © 2016, Springer International Publishing.
From volume cone to metric cone in the nonsmooth setting / De Philippis, Guido; Gigli, Nicola. - In: GEOMETRIC AND FUNCTIONAL ANALYSIS. - ISSN 1016-443X. - 26:6(2016), pp. 1526-1587. [10.1007/s00039-016-0391-6]
From volume cone to metric cone in the nonsmooth setting
De Philippis, Guido;Gigli, Nicola
2016-01-01
Abstract
We prove that ‘volume cone implies metric cone’ in the setting of RCD spaces, thus generalising to this class of spaces a well known result of Cheeger–Colding valid in Ricci-limit spaces. © 2016, Springer International Publishing.File in questo prodotto:
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