Torus actions on manifolds with positive intermediate Ricci curvature
Torus actions on manifolds with positive intermediate Ricci curvature
We study closed, simply connected manifolds with positive 2 nd $2^\mathrm{nd}$ -intermediate Ricci curvature and large symmetry rank. In odd dimensions, we show that they are spheres. In even dimensions other than 6, we show that they must have positive Euler characteristic. Under stronger assumptions on the symmetry rank, we …