Metrisability of three-dimensional projective structures
Michael Eastwood
TL;DR
This paper addresses the problem of determining when a three-dimensional projective structure can be derived from a metric, providing a solution for generic cases in this geometric setting.
Contribution
It offers a novel solution to the metrisability problem specifically for generic three-dimensional projective structures.
Findings
Solved the metrisability problem for generic 3D projective structures
Provided criteria to determine metrisability in this setting
Advanced understanding of geometric structures in differential geometry
Abstract
We solve the metrisability problem for generic three-dimensional projective structures.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Topics in Algebra · Geometric and Algebraic Topology