On the Prescribed Ricci Curvature of Noncompact Homogeneous Spaces with Two Isotropy Summands

Abstract

This work studies simply connected, noncompact G/H in which G is semi-simple, H is connected, and G/H has two irreducible summands. Here, we classify all such spaces and we provide solutions to the so-called Prescribed Ricci Curvature problem for all such spaces.

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