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Twistor theory and Blaschke manifolds
Annals of Global Analysis and Geometry, 1991Using the twistor theory on quaternionic Kähler manifolds it is proved, that a Blaschke manifold of nonnegative scalar curvature, whose holonomy group is exceptional, is isometric to a projective space.
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The development of ideas in twistor theory
International Journal of Theoretical Physics, 1985We present a review of the main concepts of twistor theory. The emphasis is on the evolution of the subject form the original motivating ideas to the more recent work. In particular we discuss the physical and philosophical reasoning behind the use of the various mathematical structures.
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The Central Programme of Twistor Theory
Chaos, Solitons & Fractals, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Twistor Theory as an Approach to Fundamental Physics
, 2018R. Penrose
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Twistor theory and gravitational instantons
2016The aim of this work is to understand and introduce a self-contained account of the construction of certain kind of gravitational instantons made by Hitchin in his work “Polygons and Gravitons”. Gravitational instantons are solutions of the Einstein equations which have a complete, non-singular and positive definite metric.
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Twistor theory: An approach to the quantisation of fields and space-time
, 1973R. Penrose, M. MacCallum
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Complex Paraconformal Manifolds – their Differential Geometry and Twistor Theory
, 1991T. Bailey, M. Eastwood
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