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Convexity of 2-Convex Translating Solitons to the Mean Curvature Flow in Rn+1documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{docu documentclass[12pt]{minimal} uspackage {amsmath} uspackage {wasysym} uspackage {amsfonts} uspackage {amssymb} uspackage {amssysy} uspackage {mathrsfs} uspackage {upgreek} setlength{oddsidemargin}{-69pt} begin{docu
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2020-05-23 DOI: 10.1007/s12220-020-00427-w
J. Spruck, Liming Sun
{"title":"Convexity of 2-Convex Translating Solitons to the Mean Curvature Flow in Rn+1documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{docu","authors":"J. Spruck, Liming Sun","doi":"10.1007/s12220-020-00427-w","DOIUrl":"https://doi.org/10.1007/s12220-020-00427-w","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"31 1","pages":"4074 - 4091"},"PeriodicalIF":1.1,"publicationDate":"2020-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12220-020-00427-w","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52802532","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Spectral Stability of the $${overline{partial }}$$-Neumann Laplacian: The Kohn–Nirenberg Elliptic Regularization $${overline{partial }}$$ -Neumann拉普拉斯算子的谱稳定性:Kohn-Nirenberg椭圆正则化
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2020-05-23 DOI: 10.1007/s12220-020-00421-2
Siqi Fu, Chunhui Qiu, Weixia Zhu
{"title":"Spectral Stability of the $${overline{partial }}$$-Neumann Laplacian: The Kohn–Nirenberg Elliptic Regularization","authors":"Siqi Fu, Chunhui Qiu, Weixia Zhu","doi":"10.1007/s12220-020-00421-2","DOIUrl":"https://doi.org/10.1007/s12220-020-00421-2","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"1 1","pages":"1-20"},"PeriodicalIF":1.1,"publicationDate":"2020-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12220-020-00421-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42513449","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Existence and Classification of $$pmb {mathbb {S}}^1$$-Invariant Free Boundary Minimal Annuli and Möbius Bands in $$pmb {mathbb {B}}^n$$ 中$$pmb {mathbb {S}}^1$$ -不变自由边界极小环隙和Möbius波段的存在与分类 $$pmb {mathbb {B}}^n$$
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2020-02-28 DOI: 10.1007/s12220-020-00371-9
A. Fraser, Pam Sargent
{"title":"Existence and Classification of $$pmb {mathbb {S}}^1$$-Invariant Free Boundary Minimal Annuli and Möbius Bands in $$pmb {mathbb {B}}^n$$","authors":"A. Fraser, Pam Sargent","doi":"10.1007/s12220-020-00371-9","DOIUrl":"https://doi.org/10.1007/s12220-020-00371-9","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"1 1","pages":"1-23"},"PeriodicalIF":1.1,"publicationDate":"2020-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12220-020-00371-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42908157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 6
An Example on s-H-Convexity in $$pmb {mathbb {C}^2}$$ 中的s- h -凸性的一个例子 $$pmb {mathbb {C}^2}$$
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2020-01-27 DOI: 10.1007/s12220-020-00359-5
Lars Simon, Berit Stensønes
{"title":"An Example on s-H-Convexity in $$pmb {mathbb {C}^2}$$","authors":"Lars Simon, Berit Stensønes","doi":"10.1007/s12220-020-00359-5","DOIUrl":"https://doi.org/10.1007/s12220-020-00359-5","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"1 1","pages":"1-16"},"PeriodicalIF":1.1,"publicationDate":"2020-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12220-020-00359-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45999407","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
The Heat Asymptotics on Filtered Manifolds. 滤波流形上的热渐近。
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2020-01-01 Epub Date: 2019-01-23 DOI: 10.1007/s12220-018-00137-4
Shantanu Dave, Stefan Haller
{"title":"The Heat Asymptotics on Filtered Manifolds.","authors":"Shantanu Dave, Stefan Haller","doi":"10.1007/s12220-018-00137-4","DOIUrl":"10.1007/s12220-018-00137-4","url":null,"abstract":"<p><p>The short-time heat kernel expansion of elliptic operators provides a link between local and global features of classical geometries. For many geometric structures related to (non-)involutive distributions, the natural differential operators tend to be Rockland, hence hypoelliptic. In this paper, we establish a universal heat kernel expansion for formally self-adjoint non-negative Rockland differential operators on general closed filtered manifolds. The main ingredient is the analysis of parametrices in a recently constructed calculus adapted to these geometric structures. The heat expansion implies that the new calculus, a more general version of the Heisenberg calculus, also has a non-commutative residue. Many of the well-known implications of the heat expansion such as, the structure of the complex powers, the heat trace asymptotics, the continuation of the zeta function, as well as Weyl's law for the eigenvalue asymptotics, can be adapted to this calculus. Other consequences include a McKean-Singer type formula for the index of Rockland differential operators. We illustrate some of these results by providing a more explicit description of Weyl's law for Rumin-Seshadri operators associated with curved BGG sequences over 5-manifolds equipped with a rank-two distribution of Cartan type.</p>","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"30 1","pages":"337-389"},"PeriodicalIF":1.1,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6994647/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"37647622","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Interpolating Sesqui-Harmonic Maps Between Riemannian Manifolds. 黎曼流形间的倍谐插值映射。
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2020-01-01 Epub Date: 2019-01-14 DOI: 10.1007/s12220-018-00130-x
Volker Branding
{"title":"On Interpolating Sesqui-Harmonic Maps Between Riemannian Manifolds.","authors":"Volker Branding","doi":"10.1007/s12220-018-00130-x","DOIUrl":"https://doi.org/10.1007/s12220-018-00130-x","url":null,"abstract":"<p><p>Motivated from the action functional for bosonic strings with extrinsic curvature term we introduce an action functional for maps between Riemannian manifolds that interpolates between the actions for harmonic and biharmonic maps. Critical points of this functional will be called interpolating sesqui-harmonic maps. In this article we initiate a rigorous mathematical treatment of this functional and study various basic aspects of its critical points.</p>","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"30 1","pages":"248-273"},"PeriodicalIF":1.1,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12220-018-00130-x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"37647621","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
Analytical Properties for Degenerate Equations 退化方程的解析性质
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2020-01-01 DOI: 10.1007/978-3-030-34953-0_4
T. Colding, W. Minicozzi
{"title":"Analytical Properties for Degenerate Equations","authors":"T. Colding, W. Minicozzi","doi":"10.1007/978-3-030-34953-0_4","DOIUrl":"https://doi.org/10.1007/978-3-030-34953-0_4","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"73 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85827990","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Applications of Min–Max Methods to Geometry 最小-最大方法在几何中的应用
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2020-01-01 DOI: 10.1007/978-3-030-53725-8_2
F. C. Marques, A. Neves
{"title":"Applications of Min–Max Methods to Geometry","authors":"F. C. Marques, A. Neves","doi":"10.1007/978-3-030-53725-8_2","DOIUrl":"https://doi.org/10.1007/978-3-030-53725-8_2","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"245 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73188941","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Pseudo-Hermitian Geometry in 3D 三维伪厄米几何
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2020-01-01 DOI: 10.1007/978-3-030-53725-8_4
Paul Yang
{"title":"Pseudo-Hermitian Geometry in 3D","authors":"Paul Yang","doi":"10.1007/978-3-030-53725-8_4","DOIUrl":"https://doi.org/10.1007/978-3-030-53725-8_4","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"111 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80685667","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Ultradifferentiable CR Manifolds. 超可微CR流形。
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2020-01-01 Epub Date: 2019-04-18 DOI: 10.1007/s12220-019-00191-6
Stefan Fürdös
{"title":"Ultradifferentiable CR Manifolds.","authors":"Stefan Fürdös","doi":"10.1007/s12220-019-00191-6","DOIUrl":"https://doi.org/10.1007/s12220-019-00191-6","url":null,"abstract":"<p><p>In this article, the notion of ultradifferentiable CR manifold is introduced and an ultradifferentiable regularity result for finitely nondegenerate CR mappings is proven. Here, ultradifferentiable means with respect to Denjoy-Carleman classes defined by weight sequences. Furthermore, the regularity of infinitesimal CR automorphisms on ultradifferentiable abstract CR manifolds is investigated.</p>","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"30 3","pages":"3064-3098"},"PeriodicalIF":1.1,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12220-019-00191-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38118322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
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