# Einstein metrics in projective geometry

@article{Cap2014EinsteinMI, title={Einstein metrics in projective geometry}, author={A. Cap and A. R. Gover and Heather Macbeth}, journal={Geometriae Dedicata}, year={2014}, volume={168}, pages={235-244} }

It is well known that pseudo–Riemannian metrics in the projective class of a given torsion free affine connection can be obtained from (and are equivalent to) the solutions of a certain overdetermined projectively invariant differential equation. This equation is a special case of a so-called first Bernstein–Gelfand–Gelfand (BGG) equation. The general theory of such equations singles out a subclass of so-called normal solutions. We prove that non-degenerate normal solutions are equivalent to… CONTINUE READING

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## Metrics in Projective Differential Geometry: The Geometry of Solutions to the Metrizability Equation

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## Metrisability of projective surfaces and pseudo-holomorphic curves

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## D G ] 2 0 Ju l 2 01 9 Minimal Lagrangian Connections on Compact Surfaces

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## D G ] 2 7 A ug 2 01 9 Geometric Theory of Weyl Structures

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## Geometric Theory of Weyl Structures.

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## D G ] 1 8 D ec 2 01 8 Extremal Conformal Structures on Projective Surfaces

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## Distinguished curves and integrability in Riemannian, conformal, and projective geometry

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## Invariant prolongation of the Killing tensor equation

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## On some concircular mappings of Kähler manifols

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