Schoen–Yau–Gromov–Lawson theory and isoparametric foliations
Schoen–Yau–Gromov–Lawson theory and isoparametric foliations
Motivated by the celebrated Schoen-Yau-Gromov-Lawson surgery theory on metrics of positive scalar curvature, we construct a double manifold associated with a minimal isoparametric hypersurface in the unit sphere.The resulting double manifold carries a metric of positive scalar curvature and an isoparametric foliation as well.To investigate the topology of the double …