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Communications in Analysis and Geometry最新文献

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Relations in the tautological ring of the universal curve 泛曲线重言环中的关系
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2020-07-31 DOI: 10.4310/cag.2022.v30.n3.a1
O. Bergvall
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引用次数: 2
Evolution of locally convex closed curves in the area-preserving and length-preserving curvature flows 保面积和保长度曲率流中局部凸闭曲线的演化
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2020-01-01 DOI: 10.4310/CAG.2020.V28.N8.A5
N. Šešum, Dong-Ho Tsai, Xiao-Liu Wang
{"title":"Evolution of locally convex closed curves in the area-preserving and length-preserving curvature flows","authors":"N. Šešum, Dong-Ho Tsai, Xiao-Liu Wang","doi":"10.4310/CAG.2020.V28.N8.A5","DOIUrl":"https://doi.org/10.4310/CAG.2020.V28.N8.A5","url":null,"abstract":"","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70404327","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Remarks on complete noncompact Einstein warped products 关于完全非紧致爱因斯坦翘曲积的注释
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2020-01-01 DOI: 10.4310/cag.2020.v28.n3.a3
R. Batista, M. Ranieri, E. Ribeiro
{"title":"Remarks on complete noncompact Einstein warped products","authors":"R. Batista, M. Ranieri, E. Ribeiro","doi":"10.4310/cag.2020.v28.n3.a3","DOIUrl":"https://doi.org/10.4310/cag.2020.v28.n3.a3","url":null,"abstract":"","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"28 1","pages":"547-563"},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70403681","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
A new geometric flow over Kahler manifolds Kahler流形上的一个新的几何流
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2020-01-01 DOI: 10.4310/cag.2020.v28.n6.a1
Yi Li, Yuan Yuan, Yuguang Zhang
{"title":"A new geometric flow over Kahler manifolds","authors":"Yi Li, Yuan Yuan, Yuguang Zhang","doi":"10.4310/cag.2020.v28.n6.a1","DOIUrl":"https://doi.org/10.4310/cag.2020.v28.n6.a1","url":null,"abstract":"","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"28 1","pages":"1251-1288"},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70403490","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
On classification of toric surface codes of dimension seven 七维环面代码的分类
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2020-01-01 DOI: 10.4310/cag.2020.v28.n2.a3
Naveed Hussain, Xue Luo, S. Yau, Mingyi Zhang, Huaiqing Zuo
{"title":"On classification of toric surface codes of dimension seven","authors":"Naveed Hussain, Xue Luo, S. Yau, Mingyi Zhang, Huaiqing Zuo","doi":"10.4310/cag.2020.v28.n2.a3","DOIUrl":"https://doi.org/10.4310/cag.2020.v28.n2.a3","url":null,"abstract":"In this paper, we give an almost complete classification of toric surface codes of dimension less than or equal to 7, according to monomially equivalence. This is a natural extension of our previous work [YZ], [LYZZ]. More pairs of monomially equivalent toric codes constructed from non-equivalent lattice polytopes are discovered. A new phenomenon appears, that is, the monomially non-equivalence of two toric codes C P (10) 7 and C P (19) 7 can be discerned on Fq , for all q ≥ 8, except q = 29. This sudden break seems to be strange and interesting. Moreover, the parameters, such as the numbers of codewords with different weights, depends on q heavily. More meticulous analyses have been made to have the possible distinct families of reducible polynomials.","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"28 1","pages":"263-319"},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70403524","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Errata to “Smooth convergence away from singular sets” “远离奇异集的平滑收敛”的勘误表
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2020-01-01 DOI: 10.4310/cag.2020.v28.n7.e1
Sajjad Lakzian, C. Sormani
{"title":"Errata to “Smooth convergence away from singular sets”","authors":"Sajjad Lakzian, C. Sormani","doi":"10.4310/cag.2020.v28.n7.e1","DOIUrl":"https://doi.org/10.4310/cag.2020.v28.n7.e1","url":null,"abstract":"","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"28 1","pages":"1755-1772"},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70403819","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Isotropic curve flows 各向同性曲线流动
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2020-01-01 DOI: 10.4310/CAG.2020.V28.N8.A3
C. Terng, Zhiwei Wu
{"title":"Isotropic curve flows","authors":"C. Terng, Zhiwei Wu","doi":"10.4310/CAG.2020.V28.N8.A3","DOIUrl":"https://doi.org/10.4310/CAG.2020.V28.N8.A3","url":null,"abstract":"","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70403832","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Total $p$-powered curvature of closed curves and flat-core closed $p$-curves in $S^2(G)$ S^2(G)$中闭合曲线和平核闭合$p$曲线的总$p$幂曲率
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2020-01-01 DOI: 10.4310/cag.2020.v28.n6.a6
N. Shioji, Kohtaro Watanabe
{"title":"Total $p$-powered curvature of closed curves and flat-core closed $p$-curves in $S^2(G)$","authors":"N. Shioji, Kohtaro Watanabe","doi":"10.4310/cag.2020.v28.n6.a6","DOIUrl":"https://doi.org/10.4310/cag.2020.v28.n6.a6","url":null,"abstract":"","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"28 1","pages":"1451-1487"},"PeriodicalIF":0.7,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70403656","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Limiting case of an isoperimetric inequality with radial densities and applications 径向密度等周不等式的极限情况及其应用
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2019-12-27 DOI: 10.4310/cag.2022.v30.n6.a6
Georgios Psaradakis
{"title":"Limiting case of an isoperimetric inequality with radial densities and applications","authors":"Georgios Psaradakis","doi":"10.4310/cag.2022.v30.n6.a6","DOIUrl":"https://doi.org/10.4310/cag.2022.v30.n6.a6","url":null,"abstract":"We prove a sharp isoperimetric inequality with radial density whose functional counterpart corresponds to a limiting case for the exponents of the Il'in (or Caffarelli-Kohn-Nirenberg) inequality in L 1. We show how the latter applies to obtain an optimal critical Sobolev weighted norm improvement to one of the L 1 weighted Hardy inequalities of [25]. Further applications include an L p version with the best constant of the functional analogue of this isoperimetric inequality and also a weighted Polya-Szego inequality.","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2019-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46420980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On positive scalar curvature bordism 关于正标量曲率本体
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2019-12-19 DOI: 10.4310/cag.2022.v30.n9.a4
P. Piazza, T. Schick, V. Roma, Mathematisches Institut, Universitat Gottingen
{"title":"On positive scalar curvature bordism","authors":"P. Piazza, T. Schick, V. Roma, Mathematisches Institut, Universitat Gottingen","doi":"10.4310/cag.2022.v30.n9.a4","DOIUrl":"https://doi.org/10.4310/cag.2022.v30.n9.a4","url":null,"abstract":"Using standard results from higher (secondary) index theory, we prove that the positive scalar curvature bordism groups of a cartesian product GxZ are infinite in dimension 4n if n>0 G a group with non-trivial torsion. We construct representatives of each of these classes which are connected and with fundamental group GxZ. We get the same result in dimension 4n+2 (n>0) if G is finite and contains an element which is not conjugate to its inverse. This generalizes the main result of Kazaras, Ruberman, Saveliev, \"On positive scalar curvature cobordism and the conformal Laplacian on end-periodic manifolds\" to arbitrary even dimensions and arbitrary groups with torsion.","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2019-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41751734","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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