Pythagorean Theorem & Curvature with Lower or Upper Bound

导出

摘要 In this paper,the authors give a comparison version of Pythagorean theo-rem to judge the lower or upper bound of the curvature of Alexandrov spaces(including Riemannian manifolds).

作者 Xiaole SU Hongwei SUN Yusheng WANG

机构地区 School of Mathematical Sciences(and Lab.math.Com.Sys.) School of Mathematics Science

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2022年第1期95-114,共20页 数学年刊（B辑英文版）

基金 This work was supported by the National Natural Science Foundation of China(No.11971057) BNSF Z190003.

关键词 Pythagorean theorem Alexandrov space Toponogov's theorem

分类号 O186.12 [理学—基础数学]

引文网络
相关文献

1Arnold Koslow.The Chinese Version of the Pythagorean Theorem and the Case of the Missing Diagram:A Memoir[J].Chinese Annals of History of Science and Technology,2018,2(2):72-85.
2Qing Song CAI.Cyclical Deformations of Quadrangles in S^(2)_(κ)and Defining Properties of Alexandrov Spaces[J].Acta Mathematica Sinica,English Series,2021,37(4):597-640.
3Changyu GUO,Changlin XIANG.REGULARITY OF P-HARMONIC MAPPINGS INTO NPC SPACES[J].Acta Mathematica Scientia,2021,41(2):633-645.
4Yuguo Qin.Non-isometric Riemannian G-Manifolds with Equal Equivariant Spectra[J].Communications in Mathematics and Statistics,2019,7(2):181-190.
5Nan Li,Aaron Naber.Quantitative Estimates on the Singular Sets of Alexandrov Spaces[J].Peking Mathematical Journal,2020,3(2):203-234.
6蒂普拓普公司推出由无溶剂聚氨酯制成的双组分修复膏,用于修复传送带[J].橡塑智造与节能环保,2022,6(1):45-45.
7Bibek Baran Nag.Erratum to “An Elementary Proof of Fermat’s Last Theorem for Epsilons”, [Advances in Pure Mathematics Vol. 11 No. 8 (2021) 735-740][J].Advances in Pure Mathematics,2022,12(2):80-80.
8CHEN Hua,CHEN Hong-ge,LI Jin-ning.RESEARCH ANNOUNCEMENTS ON "UPPER BOUND ESTIMATES OF EIGENVALUES FOR HORMANDER OPERATORS ON NON-EQUIREGULAR SUB-RIEMANNIAN MANIFOLDS"[J].数学杂志,2022,42(1):1-5.
9张鑫,张少谱,冯涛,季红艳.基于分离优势覆盖集的Pythagorean模糊决策信息系统的属性约简[J].河北师范大学学报（自然科学版）,2022,46(2):139-146. 被引量：2
10Nanbo Chen,Xiaochun Liu.On the p-Laplacian Lichnerowicz equation on compact Riemannian manifolds[J].Science China Mathematics,2021,64(10):2249-2274.

Chinese Annals of Mathematics,Series B

2022年第1期

浏览历史

内容加载中请稍等...

Pythagorean Theorem & Curvature with Lower or Upper Bound

相关作者

相关机构

相关主题

浏览历史