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The structure of submetries

Vitali Kapovitch and Alexander Lytchak
Geometry & Topology 26 (2022) 2649–2711
DOI: 10.2140/gt.2022.26.2649
Abstract

We investigate the geometric and topological structure of equidistant decompositions of Riemannian manifolds.

Keywords
Alexandrov space, submetry, singular Riemannian foliation, equidistant decomposition
Mathematical Subject Classification
Primary: 53C20, 53C21, 53C23
References
Publication
Received: 9 August 2020
Revised: 2 June 2021
Accepted: 2 July 2021
Published: 13 December 2022
Proposed: Urs Lang
Seconded: John Lott, David M Fisher
Authors
Vitali Kapovitch
Department of Mathematics
University of Toronto
Toronto, ON
Canada
Alexander Lytchak
Mathematisches Institut
Universität Köln
Köln
Germany