Wave equations on anti self dual (ASD) manifolds

Abstract

In this paper, we study and perform analyses of the wave equation on some manifolds with non diagonal metric \(g_{ij}\) which are of neutral signatures. These include the invariance properties, variational symmetries and conservation laws. In the recent past, wave equations on the standard (space time) Lorentzian manifolds have been performed but not on the manifolds from metrics of neutral signatures.

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