Twistor Theory of Dancing Paths

Kryński W., Makhmali O., The Cayley cubic and differential equations,

Original

1901

Earlier work this paper cites.

Cartan E., Les espaces généralises et l’intégration de certaines classes d’équations différentielles,

1938

Earlier work this paper cites.

Penrose R., Nonlinear gravitons and curved twistor theory,

1976

Earlier work this paper cites.

Atiyah M.F., Hitchin N.J., Singer I.M., Self-duality in four-dimensional Riemannian geometry,

1978

Earlier work this paper cites.

Ward R.S., Self-dual space-times with cosmological constant,

1980

Earlier work this paper cites.

Ward R.S., Integrable and solvable systems, and relations among them,

1985

Earlier work this paper cites.

Mason L.J., Woodhouse N.M.J., Integrability, self-duality, and twistor theory,

1996

Cited alongside, same era.

Dunajski M., The nonlinear graviton as an integrable system, Ph.D. Thesis, Oxford University, 1998

1998

Cited alongside, same era.

Bryant R., Élie Cartan and geometric duality, in Conférences données à l’Institut Élie Cartan, Institut Élie Cartan, Université de Nancy, 1999, 5–20

1999

Cited alongside, same era.

Grossman D.A., Torsion-free path geometries and integrable second order ODE systems,

2000

Cited alongside, same era.

Bryant R., Dunajski M., Eastwood M., Metrisability of two-dimensional projective structures,

Original

2009

Cited alongside, same era.

Casey S., Dunajski M., Tod P., Twistor geometry of a pair of second order ODEs,

Original

2013

Later among the works it cites.

Atiyah M., Dunajski M., Mason L.J., Twistor theory at fifty: from contour integrals to twistor strings,

Original

2017

Later among the works it cites.

Makhmali O., Differential geometric aspects of causal structures, Ph.D. Thesis, McGill University, 2017

2017

Later among the works it cites.

Bor G., Hernández Lamoneda L., Nurowski P., The dancing metric,

2018

Later among the works it cites.

Dunajski M., Mettler T., Gauge theory on projective surfaces and anti-self-dual Einstein metrics in dimension four,

Original

2018

Later among the works it cites.