Myers-Steenrod Theorems for Metric and Singular Riemannian Foliations

We prove that the group of isometries preserving a metric foliation on a closed Alexandrov space is a closed subgroup of the isometry group of . We obtain a sharp upper bound for the dimension of this subgroup and show that, when equality holds, the foliations that realize this upper bound are indu...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2025
Main Authors: Corro, Diego, Galaz-García, Fernando
Format: Article
Language:English
Published: Інститут математики НАН України 2025
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/214182
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Myers-Steenrod Theorems for Metric and Singular Riemannian Foliations. Diego Corro and Fernando Galaz-García. SIGMA 21 (2025), 106, 23 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine