On the conformal transformation group of a compact Riemannian manifold with constant scalar curvature (Q1201465)

Extending a result of \textit{N. Ejiri} [J. Math. Soc. Japan 33, 261-266 (1981; Zbl 0473.53036)], the author proves the following theorem: Let \((M_ 1, g_ 1)\) be a compact, connected, homogeneous Riemannian \(m_ 1\)-manifold and \((M_ 2, g_ 2)\) a Riemannian \(m_ 2\)-manifold with constant scalar curvature \((m_ 1 \geq 1, m_ 2 \geq 2)\). Then on \(M = M_ 1 \times M_ 2\) exists a Riemannian metric \(g\) with constant scalar curvature, such that the conformal transformation group and the isometry group of \((M,g)\) are not equal.