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Communications in Analysis and Geometry最新文献

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Complex structures of a twenty-dimensional family of Calabi–Yau $3$-folds 20维Calabi-Yau $3 -fold族的复杂结构
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2022-01-01 DOI: 10.4310/cag.2022.v30.n8.a6
Chuangqiang Hu, S. Yau, Huaiqing Zuo
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引用次数: 0
Homogeneous metrics with prescribed Ricci curvature on spaces with non-maximal isotropy 非极大各向同性空间上具有规定Ricci曲率的齐次度量
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2022-01-01 DOI: 10.4310/cag.2022.v30.n8.a8
M. Gould, A. Pulemotov
{"title":"Homogeneous metrics with prescribed Ricci curvature on spaces with non-maximal isotropy","authors":"M. Gould, A. Pulemotov","doi":"10.4310/cag.2022.v30.n8.a8","DOIUrl":"https://doi.org/10.4310/cag.2022.v30.n8.a8","url":null,"abstract":"","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70404621","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
Manifolds of positive Ricci curvature with quadratically asymptotically nonnegative curvature and infinite topological type 具有二次渐近非负曲率和无限拓扑型的正Ricci曲率流形
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2021-01-01 DOI: 10.4310/cag.2021.v29.n5.a7
Huihong Jiang, Yihu Yang
{"title":"Manifolds of positive Ricci curvature with quadratically asymptotically nonnegative curvature and infinite topological type","authors":"Huihong Jiang, Yihu Yang","doi":"10.4310/cag.2021.v29.n5.a7","DOIUrl":"https://doi.org/10.4310/cag.2021.v29.n5.a7","url":null,"abstract":"We construct a complete n-dimensinal (n ≥ 6) Riemannian manifold of positive Ricci curvature with quadratically asymptotically nonnegative sectional curvature and infinite topological type. This gives a negative answer to a problem proposed by Jiping Sha and Zhongmin Shen [12] in the case of n ≥ 6.","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70404013","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
Standard planar double bubbles are dynamically stable under surface diffusion flow 标准平面双气泡在表面扩散作用下是动态稳定的
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2021-01-01 DOI: 10.4310/cag.2021.v29.n5.a1
H. Abels, N. Arab, H. Garcke
{"title":"Standard planar double bubbles are dynamically stable under surface diffusion flow","authors":"H. Abels, N. Arab, H. Garcke","doi":"10.4310/cag.2021.v29.n5.a1","DOIUrl":"https://doi.org/10.4310/cag.2021.v29.n5.a1","url":null,"abstract":"","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70404365","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
On the visibility of the +achirality of alternating knots 关于交替结的可视性+非手性
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2021-01-01 DOI: 10.4310/CAG.2021.V29.N2.A5
Nicola Ermotti, Cam Van Quach Hongler, Claude Weber
{"title":"On the visibility of the +achirality of alternating knots","authors":"Nicola Ermotti, Cam Van Quach Hongler, Claude Weber","doi":"10.4310/CAG.2021.V29.N2.A5","DOIUrl":"https://doi.org/10.4310/CAG.2021.V29.N2.A5","url":null,"abstract":"","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"29 1","pages":"409-463"},"PeriodicalIF":0.7,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70404271","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
Regularity of CR-mappings of codimension $1$ into Levi-degenerate hypersurfaces 余维$1$的cr -映射到levi -简并超曲面的正则性
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2021-01-01 DOI: 10.4310/CAG.2021.V29.N1.A5
I. Kossovskiy, B. Lamel, Ming Xiao
{"title":"Regularity of CR-mappings of codimension $1$ into Levi-degenerate hypersurfaces","authors":"I. Kossovskiy, B. Lamel, Ming Xiao","doi":"10.4310/CAG.2021.V29.N1.A5","DOIUrl":"https://doi.org/10.4310/CAG.2021.V29.N1.A5","url":null,"abstract":"","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"29 1","pages":"151-181"},"PeriodicalIF":0.7,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70404139","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
A $operatorname{log}$-type non-local flow of convex curves $operatorname{log}$-type的非局部凸曲线流
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2021-01-01 DOI: 10.4310/cag.2021.v29.n5.a5
Laiyuan Gao, Shengliang Pan, Ke Shi
{"title":"A $operatorname{log}$-type non-local flow of convex curves","authors":"Laiyuan Gao, Shengliang Pan, Ke Shi","doi":"10.4310/cag.2021.v29.n5.a5","DOIUrl":"https://doi.org/10.4310/cag.2021.v29.n5.a5","url":null,"abstract":"","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70403954","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
Linear perturbations of the fractional Yamabe problem on the minimal conformal infinity 最小保角无穷上分数阶Yamabe问题的线性摄动
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2021-01-01 DOI: 10.4310/CAG.2021.V29.N2.A4
Shengbing Deng, Seunghye Kim, A. Pistoia
{"title":"Linear perturbations of the fractional Yamabe problem on the minimal conformal infinity","authors":"Shengbing Deng, Seunghye Kim, A. Pistoia","doi":"10.4310/CAG.2021.V29.N2.A4","DOIUrl":"https://doi.org/10.4310/CAG.2021.V29.N2.A4","url":null,"abstract":"","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70404256","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
Level curves of minimal graphs 最小图的等高线
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2020-08-24 DOI: 10.4310/cag.2022.v30.n5.a7
Allen Weitsman
{"title":"Level curves of minimal graphs","authors":"Allen Weitsman","doi":"10.4310/cag.2022.v30.n5.a7","DOIUrl":"https://doi.org/10.4310/cag.2022.v30.n5.a7","url":null,"abstract":"We prove an inequality for the curvature of level sets of minimal graphs having vanishing boundary values and show that if the boundary is concave, then all the level sets are concave.","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45119269","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
Existence results for some problems on Riemannian manifolds 黎曼流形上若干问题的存在性结果
IF 0.7 4区 数学
Communications in Analysis and Geometry Pub Date : 2020-08-12 DOI: 10.4310/CAG.2020.v28.n3.a6
Giovanni Molica Bisci, L. Vilasi, Dušan D. Repovš
{"title":"Existence results for some problems on Riemannian manifolds","authors":"Giovanni Molica Bisci, L. Vilasi, Dušan D. Repovš","doi":"10.4310/CAG.2020.v28.n3.a6","DOIUrl":"https://doi.org/10.4310/CAG.2020.v28.n3.a6","url":null,"abstract":"By using variational techniques we provide new existence results for Yamabe-type equations with subcritical perturbations set on a compact $d$-dimensional ($dgeq 3$) Riemannian manifold without boundary. As a direct consequence of our main theorems, we prove the existence of at least one solution to the following singular Yamabe-type problem $$ leftlbrace begin{array}{ll} -Delta_g w + alpha(sigma)w = mu K(sigma) w^frac{d+2}{d-2} +lambda left( w^{r-1} + f(w)right), quad sigmainmathcal{M} & & win H^2_alpha(mathcal{M}), quad w>0 mbox{in} mathcal{M} & end{array} right.$$ where, as usual, $Delta_g$ denotes the Laplace-Beltrami operator on $(mathcal{M},g)$, $alpha, K:mathcal{M}tomathbb{R}$ are positive (essentially) bounded functions, $rin(0,1)$, and $f:[0,+infty)to[0,+infty)$ is a subcritical continuous function. Restricting ourselves to the unit sphere ${mathbb{S}}^d$ via the stereographic projection, we also solve some parametrized Emden-Fowler equations in the Euclidean case.","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42544382","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
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