28 citations · 58 across the 12 of their papers we have counts for
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math.DG2016★ 4 cited
Inverse curvature flow in anti-de Sitter-Schwarzschild manifold
Siyuan Lu
In this paper, we consider the inverse hessian quotient curvature flow with star-shaped initial hypersurface in anti-de Sitter-Schwarzschild manifold. We prove that the solution ex…
math.DG2016★ 7 cited
On Weyl's embedding problem in Riemannian manifolds
Siyuan Lu
We consider a priori estimates of Weyl's embedding problem of in general -dimensional Riemannian manifold . We establish interior estima…
math.DG2016★ 28 cited
Curvature estimates for immersed hypersurfaces in Riemannian manifolds
Pengfei Guan, Siyuan Lu
We establish mean curvature estimate for immersed hypersurface with nonnegative extrinsic scalar curvature in Riemannian manifold through regularity study of a…