摘要
Let ∑1 and ∑2 be m and n dimensional Riemannian manifolds of constant curvature respectively.We assume that w is a unit constant m-form in ∑1 with respect to which ∑0 is a graph.We set v=(e1∧… ∧em,w),where {e1,…em} is a normal frame on ∑1,Suppose that ∑0 has bounded curvature.If v(x,0)≥v0≥√2/2 for all x,then the mean curvature flow has a global solution F under some suitable conditions on the curvatrue of ∑1 and ∑2.
