A Remark on Soliton Equation of Mean Curvature Flow
نویسنده
چکیده
with II(X,Y ) = DXY −∇XY, for tangential vector fields X,Y on Σ. We define the mean curvature vector field (in short, MCV) by H = trΣII. In recent years, many people are interested in studying the evolution of the immersion F : Σ → Mn+k along its Mean Curvature Flow (in short, just say MCF). The MCF is defined as follows. Given an one-parameter family of sub-manifolds Σt = Ft(Σ) with immersions Ft : Σ −→ M . Let H(t) be the MCV of Σt. Then our MCF is the equation/system
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تاریخ انتشار 2003