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Author ID: xiong.ge Recent zbMATH articles by "Xiong, Ge"
Published as: Xiong, Ge; Ge, Xiong
Homepage: http://math.tongji.edu.cn/Data/View/3880
External Links: MGP · ResearchGate
Documents Indexed: 55 Publications since 2002, including 1 Additional arXiv Preprint
Reviewing Activity: 1 Review
Co-Authors: 27 Co-Authors with 53 Joint Publications
398 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 297 times in 155 Documents Cited by Year
Orlicz-John ellipsoids. Zbl 1301.52015
Zou, Du; Xiong, Ge
59
2014
Extremum problems for the cone volume functional of convex polytopes. Zbl 1213.52011
Ge, Xiong
48
2010
The \(L_p\) Minkowski problem for the electrostatic \(\mathfrak{p}\)-capacity. Zbl 1453.31012
Du, Zou; Ge, Xiong
25
2020
Orlicz-Legendre ellipsoids. Zbl 1369.52015
Zou, Du; Xiong, Ge
24
2016
The \(L _p\) capacitary Minkowski problem for polytopes. Zbl 1441.52005
Xiong, Ge; Xiong, Jiawei; Xu, Lu
21
2019
Orlicz mixed quermassintegrals. Zbl 1328.52003
Ge, Xiong; Du, Zou
18
2014
The minimal Orlicz surface area. Zbl 1376.52017
Zou, Du; Xiong, Ge
14
2014
A unified treatment for \(L_p\) Brunn-Minkowski type inequalities. Zbl 1391.52011
Zou, Du; Xiong, Ge
9
2018
The \(L_p\) Minkowski problem for the electrostatic \(\mathfrak{p} \)-capacity for \(\mathfrak{p} \geqslant n\). Zbl 1483.31025
Lu, Xinbao; Xiong, Ge
7
2021
The Orlicz Brunn-Minkowski inequality for the projection body. Zbl 1436.52008
Zou, Du; Xiong, Ge
5
2020
A new affine invariant geometric functional for polytopes and its associated affine isoperimetric inequalities. Zbl 1495.52014
Hu, Jiaqi; Xiong, Ge
5
2021
On mixed \(L_{p}\) John ellipsoids. Zbl 1433.52008
Hu, Jiaqi; Xiong, Ge; Zou, Du
5
2019
Orlicz mixed affine quermassintegrals. Zbl 1327.52011
Li, Deyi; Zou, Du; Xiong, Ge
4
2015
Inequalities for chord power integrals. Zbl 1145.52003
Xiong, Ge; Song, Xiaogang
4
2008
Affine isoperimetric inequalities for intersection mean ellipsoids. Zbl 1431.52007
Hu, Jiaqi; Xiong, Ge; Zou, Du
4
2019
New affine inequalities and projection mean ellipsoids. Zbl 1414.52005
Zou, Du; Xiong, Ge
4
2019
The Orlicz Minkowski problem for the electrostatic \(\mathfrak{p}\)-capacity. Zbl 1503.52014
Xiong, Ge; Xiong, Jiawei
4
2022
Chord power integrals and radial mean bodies. Zbl 1142.52006
Xiong, Ge; Cheung, Wing-Sum
3
2008
Determination of convex bodies from \(\varGamma\)-section functions. Zbl 1174.52306
Xiong, Ge; Ma, Yanwei; Cheung, Wingsum
3
2008
A new approach to the Minkowski first mixed volume and the LYZ conjecture. Zbl 1469.52009
Lu, Xinbao; Sun, Qiang; Xiong, Ge
3
2021
Sharp affine isoperimetric inequalities for the Minkowski first mixed volume. Zbl 1443.52007
Sun, Qiang; Xiong, Ge
3
2020
The logarithmic capacitary Minkowski problem for polytopes. Zbl 1486.31017
Xiong, Ge; Xiong, Jia Wei
3
2022
Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes. Zbl 1479.52015
Liu, Yude; Sun, Qiang; Xiong, Ge
3
2021
The logarithmic John ellipsoid. Zbl 1403.52008
Hu, Jiaqi; Xiong, Ge
3
2018
Reconstructing triangles inscribed in convex bodies from \(X\)-ray functions. Zbl 1083.52500
Xiong, Ge; Li, Deyi
2
2004
Radial mean bodies of simplices. Zbl 1140.52301
Ni, Jianhua; Xiong, Ge; Cheung, Wingsum
2
2007
Bounds for inclusion measures of convex bodies. Zbl 1158.52011
Xiong, Ge; Cheung, Wing-Sum; Li, De-Yi
2
2008
On the continuity of the solutions to the \(L_p\) capacitary Minkowski problem. Zbl 1466.52012
Xiong, Ge; Xiong, Jiawei
2
2021
The logarithmic Minkowski inequality for cylinders. Zbl 07660721
Tao, Jiangyan; Xiong, Ge; Xiong, Jiawei
2
2023
Convex bodies with identical John and LYZ ellipsoids. Zbl 1409.52016
Zou, Du; Xiong, Ge
2
2018
Intersection bodies and inclusion measures of convex bodies. Zbl 1068.52006
Xiong, Ge; Li, Deyi; Zhong, Lüzhou
1
2003
Inclusion measures of convex bodies. Zbl 1125.52006
Xiong, Ge; Ni, Jianhua; Ruan, Zhengqian
1
2007
Firey linear combinations of convex bodies. Zbl 1212.52007
Xiong, Ge; Xiao, Qiming; Cheung, Wingsum
1
2009
Steiner symmetrization \((n-1)\) times is sufficient to transform an ellipsoid to a ball in \(\mathbb{R}^n\). Zbl 1471.52002
Liu, Yude; Sun, Qiang; Xiong, Ge
1
2021
The logarithmic Minkowski inequality for cylinders. Zbl 07660721
Tao, Jiangyan; Xiong, Ge; Xiong, Jiawei
2
2023
The Orlicz Minkowski problem for the electrostatic \(\mathfrak{p}\)-capacity. Zbl 1503.52014
Xiong, Ge; Xiong, Jiawei
4
2022
The logarithmic capacitary Minkowski problem for polytopes. Zbl 1486.31017
Xiong, Ge; Xiong, Jia Wei
3
2022
The \(L_p\) Minkowski problem for the electrostatic \(\mathfrak{p} \)-capacity for \(\mathfrak{p} \geqslant n\). Zbl 1483.31025
Lu, Xinbao; Xiong, Ge
7
2021
A new affine invariant geometric functional for polytopes and its associated affine isoperimetric inequalities. Zbl 1495.52014
Hu, Jiaqi; Xiong, Ge
5
2021
A new approach to the Minkowski first mixed volume and the LYZ conjecture. Zbl 1469.52009
Lu, Xinbao; Sun, Qiang; Xiong, Ge
3
2021
Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes. Zbl 1479.52015
Liu, Yude; Sun, Qiang; Xiong, Ge
3
2021
On the continuity of the solutions to the \(L_p\) capacitary Minkowski problem. Zbl 1466.52012
Xiong, Ge; Xiong, Jiawei
2
2021
Steiner symmetrization \((n-1)\) times is sufficient to transform an ellipsoid to a ball in \(\mathbb{R}^n\). Zbl 1471.52002
Liu, Yude; Sun, Qiang; Xiong, Ge
1
2021
The \(L_p\) Minkowski problem for the electrostatic \(\mathfrak{p}\)-capacity. Zbl 1453.31012
Du, Zou; Ge, Xiong
25
2020
The Orlicz Brunn-Minkowski inequality for the projection body. Zbl 1436.52008
Zou, Du; Xiong, Ge
5
2020
Sharp affine isoperimetric inequalities for the Minkowski first mixed volume. Zbl 1443.52007
Sun, Qiang; Xiong, Ge
3
2020
The \(L _p\) capacitary Minkowski problem for polytopes. Zbl 1441.52005
Xiong, Ge; Xiong, Jiawei; Xu, Lu
21
2019
On mixed \(L_{p}\) John ellipsoids. Zbl 1433.52008
Hu, Jiaqi; Xiong, Ge; Zou, Du
5
2019
Affine isoperimetric inequalities for intersection mean ellipsoids. Zbl 1431.52007
Hu, Jiaqi; Xiong, Ge; Zou, Du
4
2019
New affine inequalities and projection mean ellipsoids. Zbl 1414.52005
Zou, Du; Xiong, Ge
4
2019
A unified treatment for \(L_p\) Brunn-Minkowski type inequalities. Zbl 1391.52011
Zou, Du; Xiong, Ge
9
2018
The logarithmic John ellipsoid. Zbl 1403.52008
Hu, Jiaqi; Xiong, Ge
3
2018
Convex bodies with identical John and LYZ ellipsoids. Zbl 1409.52016
Zou, Du; Xiong, Ge
2
2018
Orlicz-Legendre ellipsoids. Zbl 1369.52015
Zou, Du; Xiong, Ge
24
2016
Orlicz mixed affine quermassintegrals. Zbl 1327.52011
Li, Deyi; Zou, Du; Xiong, Ge
4
2015
Orlicz-John ellipsoids. Zbl 1301.52015
Zou, Du; Xiong, Ge
59
2014
Orlicz mixed quermassintegrals. Zbl 1328.52003
Ge, Xiong; Du, Zou
18
2014
The minimal Orlicz surface area. Zbl 1376.52017
Zou, Du; Xiong, Ge
14
2014
Extremum problems for the cone volume functional of convex polytopes. Zbl 1213.52011
Ge, Xiong
48
2010
Firey linear combinations of convex bodies. Zbl 1212.52007
Xiong, Ge; Xiao, Qiming; Cheung, Wingsum
1
2009
Inequalities for chord power integrals. Zbl 1145.52003
Xiong, Ge; Song, Xiaogang
4
2008
Chord power integrals and radial mean bodies. Zbl 1142.52006
Xiong, Ge; Cheung, Wing-Sum
3
2008
Determination of convex bodies from \(\varGamma\)-section functions. Zbl 1174.52306
Xiong, Ge; Ma, Yanwei; Cheung, Wingsum
3
2008
Bounds for inclusion measures of convex bodies. Zbl 1158.52011
Xiong, Ge; Cheung, Wing-Sum; Li, De-Yi
2
2008
Radial mean bodies of simplices. Zbl 1140.52301
Ni, Jianhua; Xiong, Ge; Cheung, Wingsum
2
2007
Inclusion measures of convex bodies. Zbl 1125.52006
Xiong, Ge; Ni, Jianhua; Ruan, Zhengqian
1
2007
Reconstructing triangles inscribed in convex bodies from \(X\)-ray functions. Zbl 1083.52500
Xiong, Ge; Li, Deyi
2
2004
Intersection bodies and inclusion measures of convex bodies. Zbl 1068.52006
Xiong, Ge; Li, Deyi; Zhong, Lüzhou
1
2003
all top 5

Cited by 150 Authors

30 Xiong, Ge
8 Böröczky, Karoly jun.
8 Feng, Yibin
8 Zou, Du
6 Wang, Weidong
5 Chen, Fangwei
5 Cheung, Wingsum
5 Hu, Zejun
5 Xiong, Jiawei
4 Henk, Martin
4 Hu, Jiaqi
4 Ma, Tongyi
4 Shi, Wei
4 Sun, Qiang
4 Wang, Wei
4 Yang, Congli
4 Zhao, Yiming
4 Zhou, Yanping
3 Chen, Shibing
3 Chen, Zhengmao
3 He, Binwu
3 He, Rigao
3 Hu, Jinrong
3 Hu, Shengnan
3 Ji, Lewen
3 Lin, Youjiang
3 Liu, Lijuan
3 Liu, Weiru
3 Lu, Xinbao
3 Wu, Denghui
3 Xu, Lu
3 Yang, Deane
3 Ye, Deping
3 Zhang, Ping
3 Zhang, Zengle
3 Zhou, Jiazu
3 Zhu, Baocheng
2 Bianchi, Gabriele
2 Colesanti, Andrea
2 Du, Zou
2 Hoehner, Steven D.
2 Hong, Han
2 Huang, Qingzhong
2 Huang, Yong
2 Li, Aijun
2 Li, Deyi
2 Liu, Jiaqian
2 Liu, Yannan
2 Lu, Jian
2 Lutwak, Erwin
2 Mou, Shuang
2 Ni, Jianhua
2 Xi, Dongmeng
2 Xia, Yunwei
2 Xie, Fengfan
2 Xing, Sudan
2 Xu, Wenxue
2 Yang, Jin
2 Yang, Yunlong
2 Yang, Zhihui
2 Zhang, Deyan
2 Zhang, Gaoyong
2 Zhao, Changjian
2 Zhu, Guangxian
1 Ahmadi Javid, Amir
1 Ai, Wen
1 Artstein-Avidan, Shiri
1 Barthe, Franck
1 Bo, Yunfei
1 Bryan, Paul
1 Cai, Xin
1 Chen, Beifang
1 Chen, ChuanQiang
1 Chen, Feixiang
1 Chen, Rui
1 Chen, RuiFang
1 Cheng, Manli
1 Colombo, Giovanni
1 Dai, Jin
1 Dai, Qiuyi
1 De, Apratim
1 Eller, Katharina
1 Fang, Niufa
1 Gorkavyĭ, Vasyl A.
1 Guo, Lujun
1 Haberl, Christoph
1 He, Jia
1 Heinrich, Lothar
1 Hu, Huilan
1 Ivaki, Mohammad N.
1 Jian, Huai-Yu
1 Ju, Hongjie
1 Kalantzopoulos, Pavlos
1 Kalinin, Dmytro
1 Ledford, Jeff
1 Leng, Gangsong
1 Li, Boya
1 Li, Chao
1 Li, Hai
1 Li, Juan
...and 50 more Authors
all top 5

Cited in 52 Serials

18 Advances in Mathematics
16 Advances in Applied Mathematics
10 Journal of Mathematical Analysis and Applications
8 Proceedings of the American Mathematical Society
8 Calculus of Variations and Partial Differential Equations
7 The Journal of Geometric Analysis
6 Results in Mathematics
5 Geometriae Dedicata
5 Journal of Function Spaces
4 Monatshefte für Mathematik
4 Transactions of the American Mathematical Society
4 Journal of Inequalities and Applications
4 Journal of Shanghai University
4 Acta Mathematica Scientia. Series B. (English Edition)
3 Mathematical Inequalities & Applications
3 Science China. Mathematics
2 Journal of Differential Equations
2 Journal of Functional Analysis
2 Quaestiones Mathematicae
2 Acta Mathematica Hungarica
2 Journal of the American Mathematical Society
2 Indagationes Mathematicae. New Series
2 Advanced Nonlinear Studies
2 Journal of Mathematical Inequalities
2 Open Mathematics
1 Applicable Analysis
1 Discrete Mathematics
1 Israel Journal of Mathematics
1 Mathematical Notes
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Indiana University Mathematics Journal
1 Journal of Differential Geometry
1 Journal of Statistical Planning and Inference
1 Mathematische Annalen
1 Mathematika
1 Bulletin of the Iranian Mathematical Society
1 Discrete & Computational Geometry
1 International Journal of Mathematics
1 IMRN. International Mathematics Research Notices
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Potential Analysis
1 Filomat
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Taiwanese Journal of Mathematics
1 Acta Mathematica Sinica. English Series
1 Advances in Geometry
1 Mediterranean Journal of Mathematics
1 Oberwolfach Reports
1 Asian-European Journal of Mathematics
1 AIMS Mathematics

Citations by Year