We generalize the discrete Yamabe flow to α order. 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 S3.
We show the rigidity of the hexagonal Delaunay triangulated plane under Luo’s PL conformality.As a consequence,we obtain a rigidity theorem for a particular type of locally finite convex ideal hyperbolic polyhedra.
文摘We generalize the discrete Yamabe flow to α order. 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 S3.
基金supported by NSF of China(No.11871283,No.11971244,and No.12071338)supported by NSF of China(No.11871094)+3 种基金the hospitality of Chern Institute of Mathematics during his visit in Spring 2018 when he initiated this collaborationsupported by NSF of China(No.11571185 and No.11871283)China Scholarship Council(No.201706135016)the Fundamental Research Funds for the Central Universities,Nankai University(No.63191506).
文摘We show the rigidity of the hexagonal Delaunay triangulated plane under Luo’s PL conformality.As a consequence,we obtain a rigidity theorem for a particular type of locally finite convex ideal hyperbolic polyhedra.
