1. Institute of Mathematics, Beijing Jiaotong University, Beijing 100044, China 2. Department of Mathematics and LPMC, Nankai University, Tianjin 300071, China
We generalize the discrete Yamabe flow to αorder. This Yamabe flow deforms the α-order curvature to a constant. Using this new flow, we manage to find discrete α-quasi-Einstein metrics on the triangulations of .
GeH, JiangW. On the deformation of discrete conformal factors on surfaces. Calc Var Partial Differential Equations (to appear) https://doi.org/10.1007/s00526-016-1070-z