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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
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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
A Phragmén-Lindelöf Theorem via Proximate Orders, and the Propagation of Asymptotics. 一个近似阶的Phragmén-Lindelöf定理，以及渐近的传播。
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2020-01-01 Epub Date: 2019-05-10 DOI: 10.1007/s12220-019-00203-5
Javier Jiménez-Garrido, Javier Sanz, Gerhard Schindl
{"title":"A Phragmén-Lindelöf Theorem via Proximate Orders, and the Propagation of Asymptotics.","authors":"Javier Jiménez-Garrido,&nbsp;Javier Sanz,&nbsp;Gerhard Schindl","doi":"10.1007/s12220-019-00203-5","DOIUrl":"https://doi.org/10.1007/s12220-019-00203-5","url":null,"abstract":"<p><p>We prove that, for asymptotically bounded holomorphic functions in a sector in <math><mrow><mi>C</mi> <mo>,</mo></mrow> </math> an asymptotic expansion in a single direction towards the vertex with constraints in terms of a logarithmically convex sequence admitting a nonzero proximate order entails asymptotic expansion in the whole sector with control in terms of the same sequence. This generalizes a result by Fruchard and Zhang for Gevrey asymptotic expansions, and the proof strongly rests on a suitably refined version of the classical Phragmén-Lindelöf theorem, here obtained for functions whose growth in a sector is specified by a nonzero proximate order in the sense of Lindelöf and Valiron.</p>","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"30 4","pages":"3458-3483"},"PeriodicalIF":1.1,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12220-019-00203-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38553057","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: 1
$${mathbf {L}}^{{mathbf {p}}}$$-Sobolev Estimates for a Class of Integral Operators with Folding Canonical Relations $${mathbf {L}}^{{mathbf {p}}}$$一类具有可折叠正则关系的积分算子的-Sobolev估计
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2019-09-09 DOI: 10.1007/s12220-020-00388-0
M. Pramanik, A. Seeger
{"title":"$${mathbf {L}}^{{mathbf {p}}}$$-Sobolev Estimates for a Class of Integral Operators with Folding Canonical Relations","authors":"M. Pramanik, A. Seeger","doi":"10.1007/s12220-020-00388-0","DOIUrl":"https://doi.org/10.1007/s12220-020-00388-0","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"1 1","pages":"1-41"},"PeriodicalIF":1.1,"publicationDate":"2019-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12220-020-00388-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47311598","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
Fourier–Mukai Transforms, Euler–Green Currents, and K-Stability 傅里叶-穆凯变换，欧拉-格林电流和k -稳定性
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2019-04-30 DOI: 10.1007/978-3-030-34953-0_14
S. Paul, Kyriakos Sergiou
{"title":"Fourier–Mukai Transforms, Euler–Green Currents, and K-Stability","authors":"S. Paul, Kyriakos Sergiou","doi":"10.1007/978-3-030-34953-0_14","DOIUrl":"https://doi.org/10.1007/978-3-030-34953-0_14","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"90 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88743174","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
Ricci Flow and Ricci Limit Spaces 里奇流和里奇极限空间
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2019-04-25 DOI: 10.1007/978-3-030-53725-8_3
P. Topping
{"title":"Ricci Flow and Ricci Limit Spaces","authors":"P. Topping","doi":"10.1007/978-3-030-53725-8_3","DOIUrl":"https://doi.org/10.1007/978-3-030-53725-8_3","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"50 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2019-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80169392","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: 5
Towards a Liouville Theorem for Continuous Viscosity Solutions to Fully Nonlinear Elliptic Equations in Conformal Geometry 保形几何中全非线性椭圆方程连续黏性解的Liouville定理
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2019-01-11 DOI: 10.1007/978-3-030-34953-0_11
Yanyan Li, Luc Nguyen, Bo Wang
{"title":"Towards a Liouville Theorem for Continuous Viscosity Solutions to Fully Nonlinear Elliptic Equations in Conformal Geometry","authors":"Yanyan Li, Luc Nguyen, Bo Wang","doi":"10.1007/978-3-030-34953-0_11","DOIUrl":"https://doi.org/10.1007/978-3-030-34953-0_11","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"144 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2019-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74025078","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: 5
Holomorphic Sectional Curvature of Complex Finsler Manifolds. 复Finsler流形的全纯截面曲率。
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2019-01-01 Epub Date: 2018-01-25 DOI: 10.1007/s12220-018-9985-6
Xueyuan Wan
{"title":"Holomorphic Sectional Curvature of Complex Finsler Manifolds.","authors":"Xueyuan Wan","doi":"10.1007/s12220-018-9985-6","DOIUrl":"https://doi.org/10.1007/s12220-018-9985-6","url":null,"abstract":"<p><p>In this paper, we get an inequality in terms of holomorphic sectional curvature of complex Finsler metrics. As applications, we prove a Schwarz Lemma from a complete Riemannian manifold to a complex Finsler manifold. We also show that a strongly pseudoconvex complex Finsler manifold with semi-positive but not identically zero holomorphic sectional curvature has negative Kodaira dimension under an extra condition.</p>","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"29 1","pages":"194-216"},"PeriodicalIF":1.1,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12220-018-9985-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36945698","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: 11
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