2 citations · 3 across the 3 of their papers we have counts for
6 papers
Spectral Gap Estimates on Nearly Einstein Manifolds with Integral Curvature Deviation
Shunzi Guo
Let be a compact Riemannian manifold of dimension , possibly with nonempty convex boundary. We study the first nonzero eigenvalue of the Laplace--B…
Complete Self-Shrinkers in Arbitrary Codimension with Positive Constant Scalar Curvature and
Shunzi Guo
Let \(X:M^n\to\mathbb R^{n+p}\) be an \(n\)-dimensional complete self-shrinker in arbitrary codimension \(p\ge 1\). Suppose that the scalar curvature \(R\) is a positive constant a…
Length-constrained curve diffusion flow for open curves with endpoints on two intersecting lines
Qiyuan Cheng, Shunzi Guo
We study the curve diffusion flow for open planar curves whose endpoints are constrained to lie on two fixed straight lines that intersect at an angle . For every suc…
Mixed volume preserving flow by powers of homogeneous curvature functions of degree one
Shunzi Guo
This paper concerns the evolution of a closed hypersurface of dimension in the Euclidean space under a mixed volume preserving flow. The speed equa…
Contracting convex hypersurfaces by functions of the mean curvature
Shunzi Guo
This paper concerns the evolution of a closed convex hypersurface in , in direction of its inner unit normal vector, where the speed is given by a smooth functi…
Volume-Preserving flow by powers of the mth mean curvature in the hyperbolic space
Shunzi Guo, Guanghan Li, Chuanxi Wu
This paper concerns closed hypersurfaces of dimension in the hyperbolic space of constant sectional curvature evolving in direction of its no…