Infinitely many solutions to the Yamabe problem on noncompact manifolds
Infinitely many solutions to the Yamabe problem on noncompact manifolds
We establish the existence of infinitely many complete metrics with constant scalar curvature in conformal classes of certain noncompact product manifolds. These include products of closed manifolds with constant positive scalar curvature and simply-connected symmetric spaces of noncompact or Euclidean type; in particular, 𝕊 m ×ℝ d , m≥2, d≥1, …