The Abresch-Gromoll inequality in a non-smooth setting

We prove that the Abresch-Gromoll inequality holds on infinitesimally Hilbertian CD(K,N) spaces in the same form as the one available on smooth Riemannian manifolds.

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Source https://hal.science/hal-00769365
Author Gigli, Nicola, Mosconi, Sunra
Maintainer CCSD
Last Updated May 29, 2026, 03:51 (UTC)
Created May 29, 2026, 03:51 (UTC)
Identifier hal-00769365
Language en
contributor Laboratoire Jean Alexandre Dieudonné (LJAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UniCA)
creator Gigli, Nicola
date 2012-09-17T00:00:00
harvest_object_id 76831ed0-e9ac-42c8-baa9-23810a0bed72
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-06-23T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1209.3813
set_spec type:UNDEFINED