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}
}
  • A. Cap, A. R. Gover, Heather Macbeth
  • Published 2014
  • Mathematics, Physics
  • Geometriae Dedicata
  • 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

    Citations

    Publications citing this paper.

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 22 REFERENCES

    Geodesic mappings of affine-connected and Riemannian spaces

    VIEW 3 EXCERPTS
    HIGHLY INFLUENTIAL

    Projective BGG equations

    • A. Čap, A. R. Gover, M. Hammerl
    • algebraic sets, and compactifications of Einstein geometries, J. London Math. Soc. (2), 86
    • 2012
    VIEW 3 EXCERPTS

    Projective versus metric structures

    VIEW 1 EXCERPT

    Projective holonomy

    • S. Armstrong
    • I. Principles and properties, Ann. Global Anal. Geom., 33
    • 2008
    VIEW 1 EXCERPT