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Flow by powers of the Gauss curvature in space forms
Min Chen, Jiuzhou Huang
In this paper, we prove that convex hypersurfaces under the flow by powers of the Gauss curvature in space forms of constant sectional curvature $(κ…
Gradient estimate via two-point function under Ricci flow
Min Chen
We derive estimates relating the values of a solution at any two points to the distance between the points, for quasilinear parabolic equations on compact Riemannian manifolds unde…
The asymptotic behavior of quasi-harmonic functions and eigenfunctions of the drift Laplacian
Min Chen, Jiayu Li, Yuchen Bi
The metric is quite singular at infinity and it is not complete. Using these expansions, we have a more precise description of the asymptotic behavior of quasi-harmonic functions a…
Eigenfunctions for quasi-laplacian
Min Chen
To study the regularity of heat flow, Lin-Wang[1] introduced the quasi-harmonic sphere, which is a harmonic map from to with…