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math.DG2011★ 5 cited
The rigidity theorems of self shrinkers
Qi Ding, Y. L. Xin
By using certain idea developed in minimal submanifold theory we study rigidity problem for self-shrinkers in the present paper. We prove rigidity results for squared norm of the s…
math.DG2011★ 20 cited
On the self-shrinking systems in arbitrary codimension spaces
Qi Ding, Zhizhang Wang
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.
math.DG2010★ 2 cited
Some results on Chern's problem
Qi Ding, Y. L. Xin
For a compact minimal hypersurface in with the squared length of the second fundamental form we confirm that there exists a positive constant $\de(n)$ depending o…