Partner Symmetries, Group Foliation and ASD Ricci-Flat Metrics without Killing Vectors

Partner Symmetries, Group Foliation and ASD Ricci-Flat Metrics without Killing Vectors

We demonstrate how a combination of our recently developed methods of partner symmetries, symmetry reduction in group parameters and a new version of the group foliation method can produce noninvariant solutions of complex Monge-Ampère equation (CMA) and provide a lift from invariant solutions of CM...

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Bibliographic Details
Main Authors: Andrei A. Malykh, Mikhail B. Sheftel
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2013-11-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Monge-Ampère equation
Boyer-Finley equation
partner symmetries
symmetry reduction
non-invariant solutions
group foliation
anti-self-dual gravity
Ricci-flat metric
Online Access:http://dx.doi.org/10.3842/SIGMA.2013.075

Internet

http://dx.doi.org/10.3842/SIGMA.2013.075

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