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This paper gives a classification of all pairs $(\mathfrak g, \mathfrak h)$with $\mathfrak g$ a simple real Lie algebra and $\mathfrak h < \mathfrak g$ areductive subalgebra for which there exists a minimal parabolic subalgebra$\mathfrak p < \mathfrak g$ such that $\mathfrak g = \mathfrak h + \mathfrak p$as vector sum.

Classification of reductive real spherical pairs I. The simple case