916 citations
- Tongji UniversityCN26 papers
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Showing 2008 · math.DGShow all
3 papers · 2 filters
math.DG2008★ 1 cited
Curvature estimates for submanifolds with prescribed Gauss image and mean curvature
Y. L. Xin
We study that the graphs defining by smooth map $f:\Om\subset \ir{n}\to \ir{m}, m\ge 2,$ in $\ir{m+n}$ of the prescribed mean curvature and the Gauss image. We derive the inter…
math.DG2008
Mean curvature flow via convex functions on Grassmannian manifolds
Y. L. Xin, Ling Yang
Using the convex functions in Grassmannian manifolds we can carry out interior estimates for mean curvature flow of higher codimension. In this way some of the results of Ecker-Hui…
math.DG2008★ 1 cited
Convex functions on Grassmannian manifolds and Lawson-Osserman problem
Y. L. Xin, Ling Yang
We derive estimates of the Hessian of two smooth functions defined on Grassmannian manifold. Based on it, we can derive curvature estimates for minimal submanifolds in Euclidean sp…