On the isometry group of RCD∗(K,N)-spaces
Entity
UAM. Departamento de MatemáticasPublisher
Springer-Verlag GmbH Germany, part of Springer Nature 2018Date
2018-03-05Citation
10.1007/s00229-018-1010-7
Manuscripta Mathematica 158.3-4 (2019): 441-461
ISSN
0025-2611 (print); 1432-1785 (online)DOI
10.1007/s00229-018-1010-7Funded by
L. Guijarro and J. Santos-Rodríguez were supported by research grants MTM2014-57769-3-P, and MTM2017-85934-C3-2-P (MINECO) and ICMAT Severo Ochoa Project SEV-2015-0554 (MINECO). J. Santos-Rodríguez was supported by a PhD scholarship awarded byCONACYTProject
Gobierno de España. MTM2014-57769-3-P; Gobierno de España. MTM2017-85934-C3-2-P; Gobierno de España. SEV-2015-0554Editor's Version
https://doi.org/10.1007/s00229-018-1010-7Subjects
Group of isometries; Riemannian curvature condition; Lie group; MatemáticasNote
This is a post-peer-review pre-copyedit version of an article published in Manuscripta Mathematica. The final authentical version is avaible online https://doi.org/10.1007/s00229-018-1010-7Rights
© Springer-Verlag GmbH Germany, part of Springer Nature 2018Abstract
We prove that the group of isometries of a metric measure space that satisfies the Riemannian curvature condition,RCD∗(K,N),is a Lie group. We obtain an optimal upper bound on the dimension of this group, and classify the spaces where this maximal dimension is attained.
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Google Scholar:Guijarro Santamaría, Luis
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Santos-Rodríguez, Jaime
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