@Article{JMS-52-160, author = {Ge , HuabinMei , Jinlong and Zhou , Da}, title = {A Note on Discrete Einstein Metrics}, journal = {Journal of Mathematical Study}, year = {2019}, volume = {52}, number = {2}, pages = {160--168}, abstract = {

In this note, we prove that the space of all admissible piecewise linear metrics parameterized by the square of length on a triangulated manifold is a convex cone. We further study Regge’s Einstein-Hilbert action and give a more reasonable definition of discrete Einstein metric than the former version. Finally, we introduce a discrete Ricci flow for three dimensional triangulated manifolds, which is closely related to the existence of discrete Einstein metrics.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v52n2.19.03}, url = {http://global-sci.org/intro/article_detail/jms/13156.html} }