Affine images of Riemannian manifolds
Alexander Lytchak
TL;DR
This paper classifies all affine maps from Riemannian manifolds to metric spaces, providing a comprehensive understanding of their structure and possible images.
Contribution
It characterizes all affine maps from Riemannian manifolds to metric spaces, detailing their structure and the nature of their images.
Findings
Complete classification of affine maps from Riemannian manifolds.
Description of all possible image spaces of these maps.
Insights into the geometric properties preserved by affine maps.
Abstract
We describe all affine maps from a Riemannian manifold to a metric space and all possible image spaces.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Topological and Geometric Data Analysis · Advanced Differential Geometry Research