Two dimensional Einstein-Weyl structures
David M.J. Calderbank
TL;DR
This paper classifies all local solutions to the two-dimensional Einstein-Weyl equations and connects them to previously known compact examples, advancing understanding of two-dimensional Weyl geometries.
Contribution
It provides a complete classification of local solutions to the 2D Einstein-Weyl equations and relates them to earlier compact solutions.
Findings
All local solutions of 2D Einstein-Weyl equations are characterized.
Connections established between local solutions and known compact examples.
Enhanced understanding of two-dimensional Einstein-Weyl geometry.
Abstract
All local solutions of the two dimensional Einstein-Weyl equations are found, and related to the compact examples which I obtained in "Moebius structures and two dimensional Einstein-Weyl geometry" J. reine angew. Math. 504 (1998).
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Taxonomy
Topicsadvanced mathematical theories · Cosmology and Gravitation Theories · Advanced Differential Geometry Research