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DEFORMING SUBMANIFOLDS OF ARBITRARY CODIMENSION IN A SPHERE
DEFORMING SUBMANIFOLDS ARBITRARY CODIMENSION A SPHERE
2018/4/19
In this paper, we prove some convergence theorems for the mean curvature flow of closed submanifolds in the unit sphere Sn+d under integral curvature conditions. As a consequence, we obtain several di...
Deforming submanifolds of arbitrary codimension in a sphere
Mean curvature flow submanifolds of spheres convergence theorem differentiable sphere theorem integral curvature
2012/4/17
In this paper, we prove some convergence theorems for the mean curvature flow of closed submanifolds in the unit sphere $\mathbb{S}^{n+d}$ under integral curvature conditions. As a consequence, we obt...
On the self-shrinking systems in arbitrary codimension spaces
self-shrinking systems arbitrary codimension spaces
2011/1/17
In this paper, we discuss the self-shrinking systems in higher codimensional spaces. We mainly obtain several Bernstein type results and a sharp growth estimate.MSC 2010: Primary 53C44.