  We study the k-forms of almost homogeneous varieties over perfect base fields
k. First, we discuss criteria for the existence of k-forms in the homogeneous
case. Then, we extend the Luna-Vust theory from algebraically closed fields to
perfect fields to determine when a given k-form of the open orbit of an almost
homogeneous variety extends to a k-form of the entire variety. Finally, in the
last section, we apply these results to determine the real forms of complex
almost homogeneous SL(2)-threefolds.
