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- W2116764700 abstract "In this paper we study hypercomplex manifolds in four dimensions. Rather than using an approach based on differential forms, we develop a dual approach using vector fields. The condition on these vector fields may then be interpreted as Lax equations, exhibiting the integrability properties of such manifolds. A number of different field equations for such hypercomplex manifolds are derived, one of which is in Cauchy-Kovaleskaya form which enables a formal general solution to be given. Various other properties of the field equations and their solutions are studied, such as their symmetry properties and the associated hierarchy of conservation laws." @default.
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- W2116764700 title "Hypercomplex integrable systems" @default.
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- W2116764700 doi "https://doi.org/10.1088/0951-7715/12/5/302" @default.
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