Curved twistor spaces and H-space
K. P. Tod
Abstract
K. P. Tod
Abstract
The curved twistor space construction of Penrose 1,2 for anti-self-dual solutions to the Einstein vacuum equations is described. Curved twistor spaces are defined and it is shown with the aid of an example how to obtain them by deforming the complex structure of regions of flat twistor space. The connection of this procedure with Newman's H-space construction3 via asymptotic twistor space is outlined.
OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The curved twistor space construction of Penrose 1,2 for anti-self-dual solutions to the Einstein vacuum equations is described. Curved twistor spaces are defined and it is shown with the aid of an example how to obtain them by deforming the complex structure of regions of flat twistor space. The connection of this procedure with Newman's H-space construction3 via asymptotic twistor space is outlined.
Key concepts: Twistor theory, Twistor space, Space (punctuation), Physics, Connection (principal bundle), Mathematical physics, Mathematical analysis, Geometry