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math.DG2003
A note on negative isotropic curvature
Harish Seshadri
We prove that any compact four-manifold admits a Riemannian metric with negative isotropic curvature in the sense of Micallef and Moore.
math.DG2003
Positive scalar curvature and minimal hypersurfaces
Harish Seshadri
We show that the minimal hypersurface method of Schoen and Yau can be used for the ``quantitative'' study of positive scalar curvature. More precisely, we show that if a manifold a…