Results 1 to 10 of about 3,119 (159)

From Spinor Geometry to Complex General Relativity [PDF]

, 2005
An attempt is made of giving a self-contained (although incomplete) introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors.
Atiyah M. F., Bateman H., Bergmann P. G., Deser S., Eastwood M., Esposito G., Frauendiener J., Ganchev G., GIAMPIERO ESPOSITO, Hansen R. O., Huggett S. A., Law P. R., Le Brun C. R., Manin Y. I., Mason L. J., Mason L. J., Mason L. J., Park Q. H., Park Q. H., Penrose R., Penrose R., Penrose R., Penrose R., Penrose R., Plebanski J. F., Plebanski J. F., Plebanski J. F., Tod K. P., Tod K. P., Ward R. S., Ward R. S., Witten E.   +31 more
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About Twistor Spinors with Zero in Lorentzian Geometry [PDF]

, 2009
We describe the local conformal geometry of a Lorentzian spin manifold $(M,g)$ admitting a twistor spinor $\phi$ with zero. Moreover, we describe the shape of the zero set of $\phi$. If $\phi$ has isolated zeros then the metric $g$ is locally conformally
Leitner, Felipe
core   +4 more sources

Hyperk\"ahler Manifolds of Curves in Twistor Spaces [PDF]

, 2014
We discuss hypercomplex and hyperk\"ahler structures obtained from higher degree curves in complex spaces fibring over ${\mathbb{P}}^1$.Comment: v4: added the missing assumption on dimension in Theorem 3 ...
Bielawski, Roger
core   +4 more sources

Twistor Geometry of Null Foliations in Complex Euclidean Space [PDF]

, 2017
We give a detailed account of the geometric correspondence between a smooth complex projective quadric hypersurface $\mathcal{Q}^n$ of dimension $n \geq 3$, and its twistor space $\mathbb{PT}$, defined to be the space of all linear subspaces of maximal ...
Taghavi-Chabert, Arman
core   +3 more sources

Contact Manifolds, Contact Instantons, and Twistor Geometry [PDF]

, 2012
Recently, Kallen and Zabzine computed the partition function of a twisted supersymmetric Yang-Mills theory on the five-dimensional sphere using localisation techniques.
AD Popov, AD Popov, AD Popov, AD Popov, AD Popov, AD Popov, AD Popov, AD Popov, AS Haupt, CR LeBrun, D Fairlie, D Harland, D Harland, D Harland, DE Blair, DE Blair, E Corrigan, E Corrigan, E Witten, FP Correia, FP Correia, G Tian, H Linander, I Bauer, J Källen, J Sparks, JH Rawnsley, K Pohlmeyer, K-P Gemmer, KK Uhlenbeck, L Baulieu, L Dolan, L Mason, L Vezzoni, LJ Mason, M Atiyah, M Atiyah, M Batchelor, M Dunajski, M Dunajski, M Dunajski, M Graña, M Mamone Capriai, M Wolf, M Wolf, M Wolf, Martin Wolf, MR Douglas, N Berkovits, N Woodhouse, PS Howe, R Blumenhagen, R Boels, R Penrose, R Penrose, R Penrose, R Penrose, R Penrose, RS Ward, RS Ward, RS Ward, RS Ward, S Fubini, SA Merkulov, SA Merkulov, SA Merkulov, SA Merkulov, SK Donaldson, SK Donaldson, TA Ivanova, TA Ivanova, TA Ivanova, TA Ivanova, TN Bailey, YI Manin   +74 more
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Integrable Background Geometries [PDF]

, 2014
This work has its origins in an attempt to describe systematically the integrable geometries and gauge theories in dimensions one to four related to twistor theory. In each such dimension, there is a nondegenerate integrable geometric structure, governed
Calderbank, David M. J.
core   +4 more sources

Twistors and Bi-Hermitian Surfaces of Non-K\"ahler Type [PDF]

, 2014
The aim of this work is to give a twistor presentation of recent results about bi-Hermitian metrics on compact complex surfaces with odd first Betti ...
Fujiki, Akira, Pontecorvo, Massimiliano
core   +4 more sources

Charged Conformal Killing Spinors [PDF]

, 2014
We study the twistor equation on pseudo-Riemannian $Spin^c-$manifolds whose solutions we call charged conformal Killing spinors (CCKS). We derive several integrability conditions for the existence of CCKS and study their relations to spinor bilinears.
Lischewski, Andree
core   +1 more source

Summary of session A4: Complex and conformal methods in classical and quantum gravity

, 2014
This paper summarises oral contributions to the parallel session {\it Complex and conformal methods in classical and quantum gravity} which took place during the 20th International Conference on General Relativity and Gravitation held in Warsaw in July ...
Dunajski, Maciej
core   +1 more source

Selfdual 4-Manifolds, Projective Surfaces, and the Dunajski-West Construction [PDF]

, 2014
I present a construction of real or complex selfdual conformal 4-manifolds (of signature (2,2) in the real case) from a natural gauge field equation on a real or complex projective surface, the gauge group being the group of diffeomorphisms of a real or ...
Calderbank, David M. J.
core   +5 more sources