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Medial Axis and Singularities. 中轴和奇点。
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2017-01-01 Epub Date: 2017-02-28 DOI: 10.1007/s12220-017-9763-x
Lev Birbrair, Maciej P Denkowski
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引用次数: 19
Injectivity and Stability for a Generic Class of Generalized Radon Transforms. 一类广义Radon变换的注入性和稳定性。
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2017-01-01 Epub Date: 2016-06-30 DOI: 10.1007/s12220-016-9729-4
Andrew Homan, Hanming Zhou
{"title":"Injectivity and Stability for a Generic Class of Generalized Radon Transforms.","authors":"Andrew Homan,&nbsp;Hanming Zhou","doi":"10.1007/s12220-016-9729-4","DOIUrl":"https://doi.org/10.1007/s12220-016-9729-4","url":null,"abstract":"<p><p>Let (<i>M</i>, <i>g</i>) be an analytic, compact, Riemannian manifold with boundary, of dimension <math><mrow><mi>n</mi> <mo>≥</mo> <mn>2</mn></mrow> </math> . We study a class of generalized Radon transforms, integrating over a family of hypersurfaces embedded in <i>M</i>, satisfying the Bolker condition (in: Quinto, Proceedings of conference \"Seventy-five Years of Radon Transforms\", Hong Kong, 1994). Using analytic microlocal analysis, we prove a microlocal regularity theorem for generalized Radon transforms on analytic manifolds defined on an analytic family of hypersurfaces. We then show injectivity and stability for an open, dense subset of smooth generalized Radon transforms satisfying the Bolker condition, including the analytic ones.</p>","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"27 2","pages":"1515-1529"},"PeriodicalIF":1.1,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12220-016-9729-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"36847503","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: 20
The Variations of Yang–Mills Lagrangian 杨-米尔斯拉格朗日量的变化
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2015-06-15 DOI: 10.1007/978-3-030-34953-0_15
T. Rivière
{"title":"The Variations of Yang–Mills Lagrangian","authors":"T. Rivière","doi":"10.1007/978-3-030-34953-0_15","DOIUrl":"https://doi.org/10.1007/978-3-030-34953-0_15","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"32 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2015-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88645527","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: 8
On Brunn–Minkowski-Type Inequalities for Polar Bodies 关于极体的brunn - minkowski型不等式
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2014-09-18 DOI: 10.1007/s12220-014-9541-y
M. A. Hernández Cifre, J. Yepes Nicolás
{"title":"On Brunn–Minkowski-Type Inequalities for Polar Bodies","authors":"M. A. Hernández Cifre, J. Yepes Nicolás","doi":"10.1007/s12220-014-9541-y","DOIUrl":"https://doi.org/10.1007/s12220-014-9541-y","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"26 1","pages":"143 - 155"},"PeriodicalIF":1.1,"publicationDate":"2014-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12220-014-9541-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52802826","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
A Disc Formula for Plurisubharmonic Subextensions in Manifolds 流形中多次调和子扩展的圆盘公式
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2014-03-21 DOI: 10.1007/s12220-014-9474-5
B. Drinovec Drnovšek
{"title":"A Disc Formula for Plurisubharmonic Subextensions in Manifolds","authors":"B. Drinovec Drnovšek","doi":"10.1007/s12220-014-9474-5","DOIUrl":"https://doi.org/10.1007/s12220-014-9474-5","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"25 1","pages":"1401 - 1408"},"PeriodicalIF":1.1,"publicationDate":"2014-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12220-014-9474-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52802298","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
The Paley–Wiener Theorem and Limits of Symmetric Spaces 对称空间的Paley-Wiener定理与极限
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2013-11-06 DOI: 10.1007/s12220-013-9467-9
G. Ólafsson, J. Wolf
{"title":"The Paley–Wiener Theorem and Limits of Symmetric Spaces","authors":"G. Ólafsson, J. Wolf","doi":"10.1007/s12220-013-9467-9","DOIUrl":"https://doi.org/10.1007/s12220-013-9467-9","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"24 1","pages":"1 - 31"},"PeriodicalIF":1.1,"publicationDate":"2013-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12220-013-9467-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52802250","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: 12
Reduction of Five-Dimensional Uniformly Levi Degenerate CR Structures to Absolute Parallelisms 五维均匀Levi简并CR结构的绝对平行化
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2013-04-10 DOI: 10.1007/s12220-013-9419-4
A. Isaev, D. Zaitsev
{"title":"Reduction of Five-Dimensional Uniformly Levi Degenerate CR Structures to Absolute Parallelisms","authors":"A. Isaev, D. Zaitsev","doi":"10.1007/s12220-013-9419-4","DOIUrl":"https://doi.org/10.1007/s12220-013-9419-4","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"23 1","pages":"1571 - 1605"},"PeriodicalIF":1.1,"publicationDate":"2013-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12220-013-9419-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52802236","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: 47
On the Best Pinching Constant of Conformal Metrics on $mathbb {S}^{2}$ with One and Two Conical Singularities 关于$mathbb {S}^{2}$上具有一个和两个圆锥奇点的共形度量的最佳捏紧常数
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2013-04-01 DOI: 10.1007/S12220-011-9266-0
D. Bartolucci
{"title":"On the Best Pinching Constant of Conformal Metrics on $mathbb {S}^{2}$ with One and Two Conical Singularities","authors":"D. Bartolucci","doi":"10.1007/S12220-011-9266-0","DOIUrl":"https://doi.org/10.1007/S12220-011-9266-0","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"23 1","pages":"855-877"},"PeriodicalIF":1.1,"publicationDate":"2013-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S12220-011-9266-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52793546","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: 25
Logarithmic Lp Bounds for Maximal Directional Singular Integrals in the Plane 平面上最大方向奇异积分的对数Lp界
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2012-10-03 DOI: 10.1007/s12220-012-9340-2
C. Demeter, Francesco Di Plinio
{"title":"Logarithmic Lp Bounds for Maximal Directional Singular Integrals in the Plane","authors":"C. Demeter, Francesco Di Plinio","doi":"10.1007/s12220-012-9340-2","DOIUrl":"https://doi.org/10.1007/s12220-012-9340-2","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"24 1","pages":"375 - 416"},"PeriodicalIF":1.1,"publicationDate":"2012-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12220-012-9340-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52801800","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: 28
Solutions of Semilinear Elliptic Equations in Tubes 管内半线性椭圆方程的解
IF 1.1 2区 数学
Journal of Geometric Analysis Pub Date : 2012-10-03 DOI: 10.1007/s12220-012-9342-0
F. Pacard, F. Pacella, B. Sciunzi
{"title":"Solutions of Semilinear Elliptic Equations in Tubes","authors":"F. Pacard, F. Pacella, B. Sciunzi","doi":"10.1007/s12220-012-9342-0","DOIUrl":"https://doi.org/10.1007/s12220-012-9342-0","url":null,"abstract":"","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":"24 1","pages":"445 - 471"},"PeriodicalIF":1.1,"publicationDate":"2012-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12220-012-9342-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52802059","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: 11
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