Partner symmetries of the complex Monge–Amp re equation yield hyper-K hler metrics without continuous symmetries

DOI10.1088/0305-4470/36/39/304zbMath1043.32024arXivmath-ph/0305037OpenAlexW3098847539MaRDI QIDQ4468642

Mikhail B. Sheftel, Yavuz Nutku, Andrei A. Malykh

Publication date: 10 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0305037

zbMATH Keywords

hyper-Kähler metricscomplex Monge-Ampère equationLegendre transformationLax equationspartner symmetriesdilatational symmetry

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) PDEs in connection with relativity and gravitational theory (35Q75) Exact solutions to problems in general relativity and gravitational theory (83C15) Complex Monge-Ampère operators (32W20)

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