文献详情
Discrete Yamabe flows with R-curvature revisited
文献类型：期刊
通讯作者：Ge, HB (reprint author), Renmin Univ China, Sch Math, Beijing 100872, Peoples R China.
期刊名称：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS影响因子和分区
年：2020
卷：484
期：1
ISSN：0022-247X
关键词：Discrete Yamabe flow; Triangulation R-curvature; Extension Ball packings
摘要：Using Ge-Jiang-Shen's extension method [8], we extend Ge-Xu's discrete Yamabe flow with R-curvature [11]. We show the solution to the extended flow is unique. We give a picture of the singularities in finite time, that the degeneration is at least codimension two. We show the solution exists for all time t > 0 if all vertex degree are no less than 23, which partly confirm the Conjecture 1 in [11]. We also give two sufficient conditions (the "energy gap" condition and the "big regular triangulati ...More
Using Ge-Jiang-Shen's extension method [8], we extend Ge-Xu's discrete Yamabe flow with R-curvature [11]. We show the solution to the extended flow is unique. We give a picture of the singularities in finite time, that the degeneration is at least codimension two. We show the solution exists for all time t > 0 if all vertex degree are no less than 23, which partly confirm the Conjecture 1 in [11]. We also give two sufficient conditions (the "energy gap" condition and the "big regular triangulation" condition) for the sub-convergence to a constant R-curvature metric. 0 2019 Published by Elsevier Inc. ...Hide

DOI：10.1016/j.jmaa.2019.123681
百度学术：Discrete Yamabe flows with R-curvature revisited
语言：外文
作者其他论文



The 1-Yamabe equation on graphs.Ge, Huabin, Jiang, Wenfeng,.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. 2019, 21(8).
ON THE DEFORMATION OF INVERSIVE DISTANCE CIRCLE PACKINGS, I.Ge, Huabin, Jiang, Wenshuai,.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 2019, 372(9), 6231-6261.