Abstract

Let YIV be the Super–Cartan domain of the fourth type. We reduce the Monge–Ampere equation for the metric to an ordinary differential equation in the auxiliary function X = X(Z,W). This differential equation can be solved to give an implicit function in X. We give the generating function of the Einstein–Kahler metric on YIV . We obtain the explicit form of the complete Einstein–Kahler metric on YIV for a special case.

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