Existence of embedded minimal tori in three-spheres with positive Ricci
curvature
Existence of embedded minimal tori in three-spheres with positive Ricci
curvature
In this paper, we prove the strong Morse inequalities for the area functional in the space of embedded tori and spheres in the three sphere. As a consequence, we prove that in the three dimensional sphere with positive Ricci curvature, there exist at least 4 distinct embedded minimal tori. Suppose …