Jaehoon Lee

Ricci curvature along geodesics in the Schwarzschild manifold and constraints on minimal hypersurfaces

Several non-existence results for complete minimal hypersurfaces have been obtained within asymptotically flat manifolds with non-negative scalar curvature, including the Riemannian Schwarzschild manifold. In this talk, we will focus on the integral of Ricci curvature along specific geodesics within the Schwarzschild manifold. Through careful analysis of the sign of the Ricci curvature integral, we will see what restrictions arise on the existence of complete minimal hypersurfaces. This talk is based on joint work with E. Yeon.