Discrete α-Yamabe flow in 3-dimension

Abstract

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 {\mathbb{S}}^3.

Keywords

α-Yamabe flow / α-quasi Einstein metric / ball packing metric

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Higher Education Press and Springer-Verlag Berlin Heidelberg