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Local rigidity, bifurcation, and stability of $H_f$-hypersurfaces in weighted Killing warped products 加权杀戮翘曲积中H_f -超曲面的局部刚性、分岔和稳定性
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2021-01-01 DOI: 10.5565/publmat6512113
M. Velásquez, H. D. de Lima, André F. A. Ramalho
{"title":"Local rigidity, bifurcation, and stability of $H_f$-hypersurfaces in weighted Killing warped products","authors":"M. Velásquez, H. D. de Lima, André F. A. Ramalho","doi":"10.5565/publmat6512113","DOIUrl":"https://doi.org/10.5565/publmat6512113","url":null,"abstract":"In a weighted Killing warped productMn f ×ρR with warping metric 〈 , 〉M+ ρ2 dt, where the warping function ρ is a real positive function defined on Mn and the weighted function f does not depend on the parameter t ∈ R, we use equivariant bifurcation theory in order to establish sufficient conditions that allow us to guarantee the existence of bifurcation instants, or the local rigidity for a family of open sets {Ωγ}γ∈I whose boundaries ∂Ωγ are hypersurfaces with constant weighted mean curvature. For this, we analyze the number of negative eigenvalues of a certain Schrödinger operator and study its evolution. Furthermore, we obtain a characterization of a stable closed hypersurface x : Σn ↪→Mn f ×ρ R with constant weighted mean curvature in terms of the first eigenvalue of the f -Laplacian of Σn. 2010 Mathematics Subject Classification: Primary: 58J55, 35B32, 53C42; Secondary: 35P15.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79691638","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Normal sequences with given limits of multiple ergodic averages 具有给定极限的多次遍历平均值的正态序列
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2021-01-01 DOI: 10.5565/publmat6512108
L. Liao, M. Rams
{"title":"Normal sequences with given limits of multiple ergodic averages","authors":"L. Liao, M. Rams","doi":"10.5565/publmat6512108","DOIUrl":"https://doi.org/10.5565/publmat6512108","url":null,"abstract":"","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76885654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Dyadic lower little BMO estimates Dyadic较低的小BMO估计
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2020-12-18 DOI: 10.5565/publmat6722307
K. Domelevo, S. Kakaroumpas, S. Petermichl, O. Soler i Gibert
{"title":"Dyadic lower little BMO estimates","authors":"K. Domelevo, S. Kakaroumpas, S. Petermichl, O. Soler i Gibert","doi":"10.5565/publmat6722307","DOIUrl":"https://doi.org/10.5565/publmat6722307","url":null,"abstract":"We characterize dyadic little BMO via the boundedness of the tensor commutator with a single well chosen dyadic shift. It is shown that several proof strategies work for this problem, both in the unweighted case as well as with Bloom weights. Moreover, we address the flexibility of one of our methods.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47371009","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Sarkisov links with centre space curves on smooth cubic surfaces Sarkisov链与光滑立方表面上的中心空间曲线相连接
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2020-12-07 DOI: 10.5565/publmat6722301
Sokratis Zikas
{"title":"Sarkisov links with centre space curves on smooth cubic surfaces","authors":"Sokratis Zikas","doi":"10.5565/publmat6722301","DOIUrl":"https://doi.org/10.5565/publmat6722301","url":null,"abstract":"We construct and study Sarkisov links obtained by blowing up smooth space curves lying on smooth cubic surfaces. We restrict our attention to the case where the blowup is not weak Fano. Together with the results of arXiv:1106.3716 which cover the weak Fano case, we provide a classification of all such curves. This is achieved by computing all curves which satisfy certain necessary criteria on their multisecant curves and then constructing the Sarkisov link step by step.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41778603","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A K-contact simply connected 5-manifold with no semi-regular Sasakian structure 无半正则sasaki结构的k接触单连通5流形
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2020-11-01 DOI: 10.5565/PUBLMAT6522107
Alejandro Cañas, V. Muñoz, J. Rojo, A. Viruel
{"title":"A K-contact simply connected 5-manifold with no semi-regular Sasakian structure","authors":"Alejandro Cañas, V. Muñoz, J. Rojo, A. Viruel","doi":"10.5565/PUBLMAT6522107","DOIUrl":"https://doi.org/10.5565/PUBLMAT6522107","url":null,"abstract":"We construct the first example of a 5-dimensional simply connected compact manifold that admits a K-contact structure but does not admit a semi-regular Sasakian structure. For this, we need two ingredients: (a) to construct a suitable simply connected symplectic 4-manifold with disjoint symplectic surfaces spanning the homology, all of them but one of genus 1 and the other of genus g>1, (b) to prove a bound on the second Betti number $b_2$ of an algebraic surface with $b_1=0$ and having disjoint complex curves spanning the homology when all of them but one are of genus 1 and the other of genus g>1.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42873580","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
On invariant rank two vector bundles on $mathbb{P}^2$ 关于$mathbb{P}^2$上的两个向量束的不变秩
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2020-10-13 DOI: 10.5565/publmat6712306
Simone Marchesi, J. Vallès
{"title":"On invariant rank two vector bundles on $mathbb{P}^2$","authors":"Simone Marchesi, J. Vallès","doi":"10.5565/publmat6712306","DOIUrl":"https://doi.org/10.5565/publmat6712306","url":null,"abstract":"In this paper we characterize the rank two vector bundles on P 2 which are invariant under the action of Gp := Stabp(PGL(3)), that fixes a point in the projective plane, GL := StabL(PGL(3)), that fixes a line, and T = Gp ∩ GL. Moreover, we prove that the geometrical configuration of the jumping locus induced by the invariance does not, on the other hand, characterize the invariance itself. Indeed, we find infinity families that are almost uniform but not almost homogeneous.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42379469","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Homogeneous CR submanifolds of complex hyperbolic spaces 复双曲空间的齐次CR子流形
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2020-10-06 DOI: 10.5565/publmat6722315
J. Díaz-Ramos, M. Domínguez-Vázquez, Olga Perez-Barral
{"title":"Homogeneous CR submanifolds of complex hyperbolic spaces","authors":"J. Díaz-Ramos, M. Domínguez-Vázquez, Olga Perez-Barral","doi":"10.5565/publmat6722315","DOIUrl":"https://doi.org/10.5565/publmat6722315","url":null,"abstract":"We classify homogeneous CR submanifolds in complex hyperbolic spaces arising as orbits of a subgroup of the solvable part of the Iwasawa decomposition of the isometry group of the ambient space.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43938331","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Differential invariance of the multiplicity of real and complex analytic sets 实分析集和复分析集多重性的微分不变性
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2020-09-28 DOI: 10.5565/publmat6612214
J. E. Sampaio
{"title":"Differential invariance of the multiplicity of real and complex analytic sets","authors":"J. E. Sampaio","doi":"10.5565/publmat6612214","DOIUrl":"https://doi.org/10.5565/publmat6612214","url":null,"abstract":"This paper is devoted to proving the differential invariance of the multiplicity of real and complex analytic sets. In particular, we prove the real version of Gau-Lipman's Theorem, i.e., it is proved that the multiplicity mod 2 of real analytic sets is a differential invariant. We prove also a generalization of Gau-Lipman's Theorem.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47325809","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
An $alpha$-number characterization of $L^p$ spaces on uniformly rectifiable sets 一致可整流集上L^p$空间的$ α $数刻划
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2020-09-21 DOI: 10.5565/PUBLMAT6722313
Jonas Azzam, Damian Dąbrowski
{"title":"An $alpha$-number characterization of $L^p$ spaces on uniformly rectifiable sets","authors":"Jonas Azzam, Damian Dąbrowski","doi":"10.5565/PUBLMAT6722313","DOIUrl":"https://doi.org/10.5565/PUBLMAT6722313","url":null,"abstract":"We give a characterization of $L^{p}(sigma)$ for uniformly rectifiable measures $sigma$ using Tolsa's $alpha$-numbers, by showing, for $1<p<infty$ and $fin L^{p}(sigma)$, that [ lVert frVert_{L^{p}(sigma)}sim leftlVertleft(int_{0}^{infty} left(alpha_{fsigma}(x,r)+|f|_{x,r}alpha_{sigma}(x,r)right)^2 frac{dr}{r} right)^{frac{1}{2}}rightrVert_{L^{p}(sigma)}. ]","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47314747","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Twisted $L^2$-torsion on the character variety 扭转$L^2$-扭转对字符的变化
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2020-09-14 DOI: 10.5565/publmat6622211
L'eo B'enard, Jean Raimbault
{"title":"Twisted $L^2$-torsion on the character variety","authors":"L'eo B'enard, Jean Raimbault","doi":"10.5565/publmat6622211","DOIUrl":"https://doi.org/10.5565/publmat6622211","url":null,"abstract":"We define a twisted $L^2$-torsion on the character variety of 3-manifold $M$ and study some of its properties. In the case where $M$ is hyperbolic of finite volume, we prove that the $L^2$-torsion is a real analytic function on a neighborhood of any lift of the holonomy representation.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47913665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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