Every three-sphere of positive Ricci curvature contains a minimal embedded torus
Every three-sphere of positive Ricci curvature contains a minimal embedded torus
One of the most celebrated theorems of differential geometry is the 1929 theorem of Lusternik and Schnirelmann, which states that for every riemannian metric on the 2-sphere there exist at least three simple closed geodesies.Jurgen Jost [J] (following important work of Pitts [P] and Simon and Smith [SS]) has recently …