仓储作者

李同柱

职称：副高级
研究方向：微分几何，主要兴趣在子流形几何
所属院系：数学与统计学院
成果数量：9条，属于本单位的个人成果9条

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[外文期刊] HYPERSURFACES WITH HARMONIC CONFORMAL GAUSS MAP IN S4

作者： Lin, Limiao¹;Li, Tongzhu² （¹Fujian Normal Univ, Sch Math & Stat, FJKLMAA, Fuzhou 350117, Peoples R China.;²Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China.）

出处： HOUSTON JOURNAL OF MATHEMATICS 2023 Vol.49 No.2 P305-323

关键词： MOBIUS ISOPARAMETRIC HYPERSURFACES; WILLMORE SURFACES; CLASSIFICATION; CURVATURE; SUBMANIFOLDS

摘要： Let x : Mn Sn+1 be an oriented immersed hypersurface in (n + 1)-dimensional sphere Sn+1 with a global unit normal vector field xi, then the conformal ...

[外文期刊] The Global Property of Generic Conformally Flat Hypersurfaces in R4 SCIE

作者： Yayun Chen;Tongzhu Li （¹Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China）

出处： Mathematics 2023 Vol.11 No.1435 P1435

关键词： generic conformally flat hypersurface;Möbius metric;Möbius form;Möbius curvature

摘要： A conformally flat hypersurface f:M3→R4 in the four-dimensional Euclidean space R4 is said to be generic if the hypersurface has three distinct princi ...

[外文期刊] Complete self-shrinkers with bounded the second fundamental form in n+1 EI

作者： Chen, Yayun¹; Li, Tongzhu¹ （¹Department of Mathematics, Beijing Institute of Technology, Beijing; 100081, China）

出处： arXiv 2023

[外文期刊] Möbius Homogeneous Hypersurfaces in Sn+1 EI

作者： Li, Tongzhu;Ma, Xiang;Wang, Changping;Wang, Peng （¹Department of Mathematics, Beijing Institute of Technology, Beijing, China;²LMAM, School of Mathematical Sciences, Peking University, Beijing, China;³College of Mathematics and Computer Science, Fujian Normal University, Fuzhou, China）

出处： arXiv 2022

摘要： Let M(Sn+1) denote the Möbius transformation group of the (n+1)-dimensional sphere Sn+1. A hypersurface x: Mn → Sn+1 is called a Möbius homogeneous hy ...

[中文期刊] R^m+1₁中拟迷向类空超曲面核源

作者：姬秀，李同柱（北京理工大学数学与统计学院；北京理工大学数学与统计学院）

出处：数学学报 2021 第64卷第1期 P47-58

关键词：共形度量；共形第二基本形式；共形拟Blaschke张量

摘要：设f:M^m→R^m+1₁是无脐点类空超曲面,则在M^m上可以定义四个基本的共形不变量:共形度量g,共形1-形式C,共形第二基本形式B,共形Blaschke张量A.如果存在光滑函数λ和常数μ,使得A+μB=λg,则称M ...

[外文期刊] Wintgen ideal submanifolds: New examples, frame sequence and Möbius homogeneous classification SCIE

作者： Xie, Zhenxiao¹;Li, Tongzhu²;Ma, Xiang³;Wang, Changping⁴; （¹Department of Mathematics, China University of Mining and Technology (Beijing), Beijing, 100083, China;²Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, China;³School of Mathematical Sciences, Peking University, Beijing, 100871, China;⁴School of Mathematics and Computer Science, FJKLMAA, Fujian Normal University, Fuzhou, 350108, China）

出处： Advances in Mathematics 2021 Vol.381 P107620

摘要： In real space forms, any submanifold must satisfy the so-called DDVV inequality which relates the scalar curvature, the mean curvature, and the scalar ...

[中文学位论文] Lorentz空间中有三个不同主曲率的双调和超曲面的研究

作者：陈芝红（导师：李同柱）

学位名称：硕士

出处：北京理工大学 2017

[中文学位论文] 一种基于二维离散线性正则变换的彩色图像水印算法

作者：韩希武（导师：李同柱）

学位名称：硕士

出处：北京理工大学数学与统计学院 2016

关键词：四元数；水印；线性正则变换；鲁棒性

摘要：基于把水印分散于变换域上的水印算法的性能强烈依赖于核函数. 线性正则变换是傅里叶变换、分数阶傅里叶变换、Fresnel变换和缩放变换的一种推广. 线性正则变换是信号处理领域当中的一种重要工具. 二维线性正则变换是线性正则变换的进一步推广. 在本文中, 我们将二维线性正则变换推广到四元数域上, 将它命 ...

[中文学位论文] Lorentz 空间形式中类空常平均曲率超曲面的整体性质

作者：张树邦（导师：李同柱）

学位名称：硕士

出处：北京理工大学

共9条记录 1/1 第一页 [1] 最后一页到第页

开始时间	岂止时间	工作单位
2005-07	2012-07	北京理工大学数学与统计学院讲师
2008-03	2008-03	日本日本佐贺大学访问学者
2012-07	至今	北京理工大学数学与统计学院副教授
2014-03	2015-03	美国加州大学圣克鲁兹分校研究员

论文名称	发表刊物/卷、期、页
Moebius curvature, Laguerre curvature and Dupin hypersurface	Advances in Mathematics, Vol.311,249-294
Wintgen ideal submanifolds of codimension two, complex curves, and Moebius geometry	Tohoku Mathematical Journal, Vol.68, 621-638
Classification of hypersurfaces with constant Moebius Ricci curvature in R^n+1	Tohoku Mathematical Journal, Vol.67, 383-403
Wintgen ideal submanifolds with a low-dimensional integrable distrution	Frontiers of Mathemarics in China，Vol.10, 11-136.
S^4中具有调和共形高斯映照的超曲面	Acata Mathematica Sinica, Vol.57,1231-1240.
A note on Blaschke isoparametric hypersurfaces	International Journal of Mathematics, Vol.25(12), 1450117-1
Classification of Moebius homogeneous hypersurfaces in a 5-dimensional sphere	Houston Journal of Mathematics, Vol.40(4), 1127-1146.
Moebius geometry of three-dimensional Wintgen ideal submanifolds in S^5	Science China Mathematics, Vol.57,1203-1220
Deformation of hypersurfaces preserving the Moebius metric and a reduction theorem	Advances in Mathematics, Vol.256, 156-205
Compact Willmore hypersurfaces with two distinct principal curvatures in S^n+1	Differential geometry and its Applications, Vol.32, 35-45
Moebius homogeneous hypersurfaces with two distinct principal curvatures in S^n+1	Arkiv for Matematik, Vol.51, 315-328.
Willmore hypersurfaces with constant Moebius curvature in R^n+1	Geometriae dedicate, Vol.166, 315-328.
The geometry of Tanggent Bundles: Canonical Vector Fields	Geometry, Vol.2013, ID:364301
Conformal geometry of hypersurfaces in Lorentz space form	Geometry, Vol.2013, ID:549602
Willmore hypersurfaces with two distinct principal curvatures in R^n+1	Pacific Journal of Mathematics, Vol.256, 129-149.
Laguerre homogeneous surfaces in R^3	Science China Mathematics, Vol.55, 1197-1214
Laguerre Isoparametric hypersurfaces in R^4	Acta Mathematica Sinica, Vol.28, 1179-1186.
Classification of hypersurfaces with constant Moebius curvature in S^{m+1}	Mathematische Zeitschrift, Vol.271, 193-219.
Classification of Hypersurfaces with constant Laguerre eigenvalues in R^n	Science China Mathematics, Vol.54, 1129-1144.
Conformal Isoparametric hypersurfaces with two distinct conformal principal curvatures in conformal space	Science China Mathematics, Vol.53, 953-965.
Classification of Hypersurfaces with parallel Laguerre second fundamental form in R^n	Differential geometry and its applications, Vol.28, 148-157.
Homegeneous Surfaces in Lie sphere geometry	Geometriae Dedicata, Vol.149, 15-43.
The Geometric structure of the Inverse Gamma Distribution	Beitrage Zur Algebra und Geometrie, Vol.49, 217-225.
Hypersurfaces with Harmonic Moebius Curvature in S^{n+1}	Advances in Mathematics(China), Vol.37, 57-66.
Laguerre geometry of hypersurfaces in R^n	Manuscripta Mathematica,Vol.122, 73-95.
Laguerre geometry of surfaces in R^3	Acta Mathematica Sinica, Vol.21, 1525-1534.
Hypersurfaces with Harmonic Moebius Curvature in S^{n+1}	Acta Mathematica Sinica, Vol.47, 587-592.

开始时间	岂止时间	工作单位
2008-03	2008-03	日本日本佐贺大学访问学者
2014-03	2015-03	美国加州大学圣克鲁兹分校研究员

主持科研项目情况
项目编号	项目名称	项目来源	起始年月	终止年月
10726026	N维欧式空间中超曲面的Laguerre几何	国家自然科学基金	2008.01	2008.12
10801006	n维欧式空间中子流形的Laguerre微分几何	国家自然科学基金	2009.01	2011.12
11571037	Lorentz空间形式中子流形的刚性和形变问题	国家自然科学基金	2016.01	2019.12
2.013E+10	N维球面中超曲面的Moebius几何	校基础科研基金	2014.01	2015.12

参与科研项目
项目编号	项目名称	项目来源	起始年月	终止年月
10726026	N维欧式空间中超曲面的Laguerre几何	国家自然科学基金	2008.01	2008.12
10801006	n维欧式空间中子流形的Laguerre微分几何	国家自然科学基金	2009.01	2011.12
11571037	Lorentz空间形式中子流形的刚性和形变问题	国家自然科学基金	2016.01	2019.12
2.013E+10	N维球面中超曲面的Moebius几何	校基础科研基金	2014.01	2015.12

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获奖情况
获奖项目名称	颁奖部门	奖励级别	奖励等级	获奖时间
保球变换群的几何及其子流形理论	教育部	省部	一等奖	2014.12