Mean curvature flow of hypersurfaces in Einsteinian manifold (Q1919021)

\textit{G. Huisken} [Invent. Math. 84, 463-480 (1986; Zbl 0589.53058)] proved that any hypersurface \(M\) satisfying a certain convexity condition in a Riemannian manifold \(N\) contracts to a point during the evolution along its mean curvature vector. In this paper, the author studies the evolution of hypersurfaces in a positive pinched Einstein manifold without assuming the convexity condition for the initial manifold and obtains the same result.