Structure of Submetries
Vitali Kapovitch, Alexander Lytchak
TL;DR
This paper explores the geometric and topological properties of submetries, focusing on how they decompose Riemannian manifolds into equidistant parts, revealing new insights into their structure.
Contribution
It provides a detailed analysis of the structure of submetries and their role in equidistant decompositions of Riemannian manifolds, a topic not extensively studied before.
Findings
Characterization of submetries in Riemannian geometry
Insights into the topology of equidistant decompositions
New structural theorems for submetries
Abstract
We investigate the geometric and topological structure of equidistant decompositions of Riemannian manifolds.
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