Metrics in projective differential geometry: the geometry of solutions to the metrizability equation

Pseudo-Riemannian metrics with Levi-Civita connection in the projective class of a given torsion free affine connection can be obtained from (and are equivalent to) the maximal rank solutions of a certain overdetermined projectively invariant differential equation often called the metrizability equa...

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Veröffentlicht in:	arXiv.org 2018-03
Hauptverfasser:	Flood, Keegan J, Gover, A Rod
Format:	Artikel
Sprache:	eng
Schlagworte:	Differential geometry Embedded structures Lie groups Partial differential equations Strata Stratification
Online-Zugang:	Volltext
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