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Author ID: shen.zhongmin Recent zbMATH articles by "Shen, Zhongmin"
Published as: Shen, Zhongmin; Shen, Z.; Shen, ZhongMin; Shen, Zhong-min
Homepage: https://www.math.iupui.edu/~zshen/
External Links: MGP · ResearchGate
Documents Indexed: 116 Publications since 1988, including 6 Books
4 Contributions as Editor
Reviewing Activity: 10 Reviews
Co-Authors: 51 Co-Authors with 80 Joint Publications
1,079 Co-Co-Authors
all top 5

Serials

11 International Journal of Mathematics
9 Publicationes Mathematicae
8 Canadian Mathematical Bulletin
5 Mathematische Zeitschrift
5 Science China. Mathematics
4 Israel Journal of Mathematics
4 Chinese Annals of Mathematics. Series B
3 Canadian Journal of Mathematics
3 Mathematische Annalen
3 Results in Mathematics
3 Transactions of the American Mathematical Society
3 Annals of Global Analysis and Geometry
2 American Journal of Mathematics
2 Indiana University Mathematics Journal
2 Journal of the London Mathematical Society. Second Series
2 Proceedings of the American Mathematical Society
2 Science in China. Series A
1 Houston Journal of Mathematics
1 Periodica Mathematica Hungarica
1 Revue Roumaine de Mathématiques Pures et Appliquées
1 Rocky Mountain Journal of Mathematics
1 Journal of Geometry and Physics
1 Advances in Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Differential Geometry
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Studia Scientiarum Mathematicarum Hungarica
1 Differential Geometry and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Algebras, Groups and Geometries
1 Chinese Science Bulletin
1 Symmetry: Culture and Science
1 Acta Mathematica Sinica. English Series
1 Acta Mathematica Academiae Paedagogicae Nyíregyháziensis. New Series
1 Journal of the Australian Mathematical Society
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Contemporary Mathematics
1 Graduate Texts in Mathematics
1 Mathematical Sciences Research Institute Publications
1 Nankai Tracts in Mathematics
1 Communications in Mathematical Analysis
1 Advanced Lectures in Mathematics (ALM)

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 2,745 times in 1,146 Documents Cited by Year
An introduction to Riemann-Finsler geometry. Zbl 0954.53001
Bao, D.; Chern, S.-S.; Shen, Z.
566
2000
Lectures on Finsler geometry. Zbl 0974.53002
Shen, Zhongmin
229
2001
Differential geometry of spray and Finsler spaces. Zbl 1009.53004
Shen, Zhongmin
167
2001
Zermelo navigation on Riemannian manifolds. Zbl 1078.53073
Bao, David; Robles, Colleen; Shen, Zhongmin
146
2004
Riemann-Finsler geometry. Zbl 1085.53066
Chern, Shiing-Shen; Shen, Zhongmin
144
2005
Volume comparison and its applications in Riemann-Finsler geometry. Zbl 0919.53021
Shen, Zhongmin
124
1997
On the flag curvature of Finsler metrics of scalar curvature. Zbl 1063.53078
Chen, Xinyue; Mo, Xiaohuan; Shen, Zhongmin
60
2003
A class of Finsler metrics with isotropic S-curvature. Zbl 1165.53016
Cheng, Xinyue; Shen, Zhongmin
50
2009
Finsler geometry. An approach via Randers spaces. Zbl 1268.53081
Cheng, Xinyue; Shen, Zhongmin
49
2012
Projectively flat Finsler metrics of constant flag curvature. Zbl 1027.53095
Shen, Zhongmin
48
2003
Finsler metrics with \(K=0\) and \(S=0\). Zbl 1035.53104
Shen, Zhongmin
42
2003
Projectively flat Randers metrics with constant flag curvature. Zbl 1027.53096
Shen, Zhongmin
40
2003
Riemann-Finsler geometry with applications to information geometry. Zbl 1107.53013
Shen, Zhongmin
40
2006
On Finsler geometry of submanifolds. Zbl 0921.53037
Shen, Zhongmin
40
1998
On a class of Landsberg metrics in Finsler geometry. Zbl 1181.53023
Shen, Zhongmin
40
2009
On Randers metrics with isotropic \(S\)-curvature. Zbl 1151.53065
Shen, Zhongmin; Xing, Hao
37
2008
Finsler metrics of constant positive curvature on the Lie group \(S^3\). Zbl 1032.53063
Bao, David; Shen, Z.
36
2002
Randers metrics of scalar flag curvature. Zbl 1182.53022
Cheng, Xinyue; Shen, Zhongmin
33
2009
On projectively flat \((\alpha, \beta)\)-metrics. Zbl 1170.53012
Shen, Zhongmin
32
2009
Finsler metrics of scalar flag curvature with special non-Riemannian curvature properties. Zbl 1147.53020
Najafi, B.; Shen, Z.; Tayebi, A.
32
2008
On a class of projectively flat metrics with constant flag curvature. Zbl 1157.53014
Shen, Z.; Civi Yildirim, G.
29
2008
On a class of Douglas metrics. Zbl 1224.53043
Li, Benling; Shen, Yibing; Shen, Zhongmin
27
2009
Randers metrics with special curvature properties. Zbl 1100.53056
Chen, Xinyue; Shen, Zhongmin
25
2003
Eigenvalues and eigenfunctions of metric measure manifolds. Zbl 1018.58005
Ge, Yuxin; Shen, Zhongmin
25
2001
A class of Einstein \(({\alpha}, {\beta})\)-metrics. Zbl 1256.53045
Cheng, Xinyue; Shen, Zhongmin; Tian, Yanfang
25
2012
Curvature properties of \((\alpha,\beta)\)-metrics. Zbl 1151.53019
Bácsó, Sándor; Cheng, Xinyue; Shen, Zhongmin
24
2007
Two-dimensional Finsler metrics with constant flag curvature. Zbl 1027.53093
Shen, Zhongmin
23
2002
On complete manifolds of nonnegative \(k\)th-Ricci curvature. Zbl 0783.53026
Shen, Zhongmin
22
1993
On a class of projectively flat Finsler metrics with constant flag curvature. Zbl 1120.53011
Li, Benling; Shen, Zhongmin
22
2007
Finsler manifolds with nonpositive flag curvature and constant S-curvature. Zbl 1076.53096
Shen, Zhongmin
22
2005
On locally dually flat Finsler metrics. Zbl 1213.53031
Cheng, Xinyue; Shen, Zhongmin; Zhou, Yusheng
21
2010
Some constructions of projectively flat Finsler metrics. Zbl 1115.53048
Mo, Xiaohuan; Shen, Zhongmin; Yang, Chunhong
21
2006
Landsberg curvature, \(S\)-curvature and Riemann curvature. Zbl 1074.53063
Shen, Zhongmin
20
2004
Projectively flat fourth root Finsler metrics. Zbl 1242.53027
Li, Benling; Shen, Zhongmin
19
2012
On a class of Ricci-flat Douglas metrics. Zbl 1251.53019
Sevim, Esra Sengelen; Shen, Zhongmin; Zhao, Lili
18
2012
On conformal vector fields on Randers manifolds. Zbl 1267.53027
Shen, ZhongMin; Xia, QiaoLing
16
2012
On a class of weak Landsberg metrics. Zbl 1125.53015
Li, Ben-ling; Shen, Zhong-min
15
2007
Introduction to modern Finsler geometry. Zbl 1344.53003
Shen, Yi-Bing; Shen, Zhongmin
15
2016
On projectively related Einstein metrics in Riemann-Finsler geometry. Zbl 0985.53017
Shen, Zhongmin
14
2001
On some non-Riemannian quantities in Finsler geometry. Zbl 1259.53024
Shen, Zhongmin
14
2013
On a projective class of Finsler metrics. Zbl 1127.53017
Najafi, B.; Shen, Zhongmin; Tayebi, Akbar
14
2007
On Douglas metrics. Zbl 1082.53023
Chen, Xinyue; Shen, Zhongmin
14
2005
On a class of Einstein Finsler metrics. Zbl 1293.53027
Shen, Zhongmin; Yu, Changtao
14
2014
On the volume of unit tangent spheres in a Finsler manifold. Zbl 0934.53016
Bao, David; Shen, Zhongmin
13
1994
A sampler of Riemann-Finsler geometry. Zbl 1054.53001
12
2004
Complete manifolds with nonnegative Ricci curvature and large volume growth. Zbl 0864.53028
Shen, Zhongmin
12
1996
On Einstein square metrics. Zbl 1349.53038
Shen, Zhongmin; Yu, Changtao
12
2014
Ricci curvature tensor and non-Riemannian quantities. Zbl 1327.53022
Li, Benling; Shen, Zhongmin
12
2015
Sprays of isotropic curvature. Zbl 1381.53144
Li, Benling; Shen, Zhongmin
11
2018
A class of Randers metrics of scalar flag curvature. Zbl 1280.53024
Shen, Zhongmin; Xia, Qiaoling
10
2013
Complete manifolds with nonnegative Ricci curvature and quadratically nonnegatively curved infinity. Zbl 0901.53023
Sha, Jiping; Shen, Zhongmin
9
1997
Negative Ricci curvature and isometry group. Zbl 0820.53045
Dai, Xianzhe; Shen, Zhongmin; Wei, Guofang
9
1994
On Randers metrics of quadratic Riemann curvature. Zbl 1171.53020
Li, Benling; Shen, Zhongmin
9
2009
On negatively curved Finsler manifolds of scalar curvature. Zbl 1073.53095
Mo, Xiaohuan; Shen, Zhongmin
9
2005
Some rigidity phenomena for Einstein metrics. Zbl 0691.53037
Shen, Zhongmin
9
1990
Projectively flat Finsler metrics with almost isotropic s-curvature. Zbl 1108.53013
Cheng, Xinyue; Shen, Zhongmin
9
2006
Circle-preserving transformations in Finsler spaces. Zbl 1299.53143
Bidabad, Behroz; Shen, Zhongmin
9
2012
On \(R\)-quadratic Finsler spaces. Zbl 0973.53058
Shen, Zhongmin
8
2001
Volume growth and finite topological type. Zbl 0809.53048
Shen, Zhongmin; Wei, Guofang
8
1993
On Riemannian manifolds of almost nonnegative curvature. Zbl 0741.53033
Shen, Zhongmin; Wei, Guofang
8
1991
On a class of Ricci-flat Finsler metrics in Finsler geometry. Zbl 1283.53025
Chen, Bin; Shen, Zhongmin; Zhao, Lili
8
2013
On a class of locally projectively flat Finsler metrics. Zbl 1344.53016
Li, Benling; Shen, Zhongmin
8
2016
On square metrics of scalar flag curvature. Zbl 1417.53023
Shen, Zhongmin; Yang, Guojun
7
2018
The nonlinear Laplacian for Finsler manifolds. Zbl 0930.53047
Shen, Zhongmin
7
1998
The codimension one homology of a complete manifold with nonnegative Ricci curvature. Zbl 1024.53027
Shen, Zhongmin; Sormani, Christina
6
2001
Manifolds with quadratic curvature decay and slow volume growth. Zbl 0996.53026
Lott, John; Shen, Zhongmin
6
2000
A comparison theorem on the Ricci curvature in projective geometry. Zbl 1043.53059
Chen, Xinyue; Shen, Zhongmin
6
2003
Finsler manifolds of constant positive curvarture. Zbl 0864.53057
Shen, Zhongmin
6
1996
Spherically symmetric Finsler metrics with constant Ricci and flag curvature. Zbl 1363.53067
Sevim, Esra Sengelen; Shen, Zhongmin; Ülgen, Semail
6
2015
Constructions of Einstein Finsler metrics by warped product. Zbl 1401.53017
Chen, Bin; Shen, Zhongmin; Zhao, Lili
6
2018
Conformal vector fields on some Finsler manifolds. Zbl 1342.53039
Shen, ZhongMin; Yuan, MinGao
6
2016
On conformally flat \((\alpha, \beta)\)-metrics with constant flag curvature. Zbl 1363.53016
Chen, Guangzu; He, Qun; Shen, Zhongmin
6
2015
A sphere theorem for manifolds of positive Ricci curvature. Zbl 0678.53032
Shen, Zhongmin
5
1989
Finsler geometry. Joint summer research conference, July 16-20, 1995, Seattle, WA, USA. Zbl 0844.00019
4
1996
On a connection in Finsler geometry. Zbl 0824.53018
Shen, Zhongmin
4
1994
The topology of open manifolds with nonnegative Ricci curvature. Zbl 1167.53309
Shen, Zhongmin; Sormani, Christina
4
2006
Some formulas of Gauss-Bonnet-Chern type in Riemann-Finsler geometry. Zbl 0845.53051
Shen, Zhongmin
4
1996
On the Gauss-Bonnet integrand for 4-dimensional Landsberg spaces. Zbl 0864.53053
Bao, David; Chern, S. S.; Shen, Z.
4
1996
On strongly convex indicatrices in Minkowski geometry. Zbl 1031.53046
Ji, Min; Shen, Zhongmin
3
2002
Riemannian geometry of conical singular sets. Zbl 0967.53026
Liu, Zhong-Dong; Shen, Zhongmin
3
1998
On complete Riemannian manifolds with collapsed ends. Zbl 0806.53050
Shen, Zhongmin
3
1994
Manifolds with small excess and bounded curvature. Zbl 0791.53047
Petersen, Peter V; Shen, Zhongmin; Zhu, Shunhui
3
1993
On a class of two-dimensional Finsler manifolds of isotropic S-curvature. Zbl 1384.53020
Cheng, Xinyue; Shen, Zhongmin; Yang, Guojun
3
2018
On a class of weakly Einstein Finsler metrics. Zbl 1307.53061
Shen, Zhongmin; Yang, Guojun
3
2014
A convergence theorem for Riemannian submanifolds. Zbl 0833.53042
Shen, Zhongmin
3
1995
Finiteness and vanishing theorems for complete open Riemannian manifolds. Zbl 0696.53028
Shen, Zhongmin
3
1989
Conformal vector fields on a locally projectively flat Randers manifold. Zbl 1340.53038
Shen, Zhongmin; Xia, Qiaoling
3
2014
Rigidity issues on Finsler surfaces. Zbl 0933.53033
Bou, D.; Chern, S. S.; Shen, Z.
3
1997
Randers metrics of reversible curvature. Zbl 1264.53069
Shen, Zhongmin; Yang, Guojun
3
2013
Geometric meanings of curvatures in Finsler geometry. Zbl 0991.53051
Shen, Zhongmin
2
2001
Deforming metrics with curvature and injectivity radius bounded from below. Zbl 0794.53013
Shen, Zhongmin
2
1994
A characterization of Randers metrics of scalar flag curvature. Zbl 1320.53028
Shen, Zhongmin; Civi, Gulcin
2
2012
Rigidity theorems for nonpositive Einstein metrics. Zbl 0765.53036
Shen, Zhongmin
2
1992
On Riemannian manifolds with \(\epsilon\)-maximal diameter and bounded curvature. Zbl 0764.53036
Shen, Zhongmin
2
1992
On the Betti numbers of Alexandrov spaces. Zbl 0824.53041
Liu, Zhong-Dong; Shen, Zhongmin
2
1994
Finsler geometry over the reals. Zbl 0854.53023
Bao, D.; Chern, S. S.; Shen, Z.
2
1996
Einstein Finsler metrics and Killing vector fields on Riemannian manifolds. Zbl 1367.53021
Cheng, XinYue; Shen, ZhongMin
2
2017
Some Ricci-flat Finsler metrics. Zbl 1299.53150
Sevim, Esra Sengelen; Shen, Zhongmin; Zhao, Lili
2
2013
On sprays with vanishing \(\chi\)-curvature. Zbl 1485.53093
Shen, Zhongmin
2
2021
The volume and topology of a complete Riemannian manifold. Zbl 0990.53022
Zhan, Huashui; Shen, Zhongmin
1
2001
On sprays with vanishing \(\chi\)-curvature. Zbl 1485.53093
Shen, Zhongmin
2
2021
On the projective Ricci curvature. Zbl 1470.53023
Shen, Zhongmin; Sun, Liling
1
2021
Homogeneous Einstein manifolds with vanishing \(S\) curvature. Zbl 1427.53063
Huang, Libing; Shen, Zhongmin
1
2019
Sprays of isotropic curvature. Zbl 1381.53144
Li, Benling; Shen, Zhongmin
11
2018
On square metrics of scalar flag curvature. Zbl 1417.53023
Shen, Zhongmin; Yang, Guojun
7
2018
Constructions of Einstein Finsler metrics by warped product. Zbl 1401.53017
Chen, Bin; Shen, Zhongmin; Zhao, Lili
6
2018
On a class of two-dimensional Finsler manifolds of isotropic S-curvature. Zbl 1384.53020
Cheng, Xinyue; Shen, Zhongmin; Yang, Guojun
3
2018
Einstein Finsler metrics and Killing vector fields on Riemannian manifolds. Zbl 1367.53021
Cheng, XinYue; Shen, ZhongMin
2
2017
Introduction to modern Finsler geometry. Zbl 1344.53003
Shen, Yi-Bing; Shen, Zhongmin
15
2016
On a class of locally projectively flat Finsler metrics. Zbl 1344.53016
Li, Benling; Shen, Zhongmin
8
2016
Conformal vector fields on some Finsler manifolds. Zbl 1342.53039
Shen, ZhongMin; Yuan, MinGao
6
2016
Ricci curvature tensor and non-Riemannian quantities. Zbl 1327.53022
Li, Benling; Shen, Zhongmin
12
2015
Spherically symmetric Finsler metrics with constant Ricci and flag curvature. Zbl 1363.53067
Sevim, Esra Sengelen; Shen, Zhongmin; Ülgen, Semail
6
2015
On conformally flat \((\alpha, \beta)\)-metrics with constant flag curvature. Zbl 1363.53016
Chen, Guangzu; He, Qun; Shen, Zhongmin
6
2015
On a class of Einstein Finsler metrics. Zbl 1293.53027
Shen, Zhongmin; Yu, Changtao
14
2014
On Einstein square metrics. Zbl 1349.53038
Shen, Zhongmin; Yu, Changtao
12
2014
On a class of weakly Einstein Finsler metrics. Zbl 1307.53061
Shen, Zhongmin; Yang, Guojun
3
2014
Conformal vector fields on a locally projectively flat Randers manifold. Zbl 1340.53038
Shen, Zhongmin; Xia, Qiaoling
3
2014
On some non-Riemannian quantities in Finsler geometry. Zbl 1259.53024
Shen, Zhongmin
14
2013
A class of Randers metrics of scalar flag curvature. Zbl 1280.53024
Shen, Zhongmin; Xia, Qiaoling
10
2013
On a class of Ricci-flat Finsler metrics in Finsler geometry. Zbl 1283.53025
Chen, Bin; Shen, Zhongmin; Zhao, Lili
8
2013
Randers metrics of reversible curvature. Zbl 1264.53069
Shen, Zhongmin; Yang, Guojun
3
2013
Some Ricci-flat Finsler metrics. Zbl 1299.53150
Sevim, Esra Sengelen; Shen, Zhongmin; Zhao, Lili
2
2013
Finsler geometry. An approach via Randers spaces. Zbl 1268.53081
Cheng, Xinyue; Shen, Zhongmin
49
2012
A class of Einstein \(({\alpha}, {\beta})\)-metrics. Zbl 1256.53045
Cheng, Xinyue; Shen, Zhongmin; Tian, Yanfang
25
2012
Projectively flat fourth root Finsler metrics. Zbl 1242.53027
Li, Benling; Shen, Zhongmin
19
2012
On a class of Ricci-flat Douglas metrics. Zbl 1251.53019
Sevim, Esra Sengelen; Shen, Zhongmin; Zhao, Lili
18
2012
On conformal vector fields on Randers manifolds. Zbl 1267.53027
Shen, ZhongMin; Xia, QiaoLing
16
2012
Circle-preserving transformations in Finsler spaces. Zbl 1299.53143
Bidabad, Behroz; Shen, Zhongmin
9
2012
A characterization of Randers metrics of scalar flag curvature. Zbl 1320.53028
Shen, Zhongmin; Civi, Gulcin
2
2012
A new quantity in Riemann-Finsler geometry. Zbl 1254.53105
Mo, Xiaohuan; Shen, Zhongmin; Liu, Huaifu
1
2012
On locally dually flat Finsler metrics. Zbl 1213.53031
Cheng, Xinyue; Shen, Zhongmin; Zhou, Yusheng
21
2010
A class of Finsler metrics with isotropic S-curvature. Zbl 1165.53016
Cheng, Xinyue; Shen, Zhongmin
50
2009
On a class of Landsberg metrics in Finsler geometry. Zbl 1181.53023
Shen, Zhongmin
40
2009
Randers metrics of scalar flag curvature. Zbl 1182.53022
Cheng, Xinyue; Shen, Zhongmin
33
2009
On projectively flat \((\alpha, \beta)\)-metrics. Zbl 1170.53012
Shen, Zhongmin
32
2009
On a class of Douglas metrics. Zbl 1224.53043
Li, Benling; Shen, Yibing; Shen, Zhongmin
27
2009
On Randers metrics of quadratic Riemann curvature. Zbl 1171.53020
Li, Benling; Shen, Zhongmin
9
2009
On Randers metrics with isotropic \(S\)-curvature. Zbl 1151.53065
Shen, Zhongmin; Xing, Hao
37
2008
Finsler metrics of scalar flag curvature with special non-Riemannian curvature properties. Zbl 1147.53020
Najafi, B.; Shen, Z.; Tayebi, A.
32
2008
On a class of projectively flat metrics with constant flag curvature. Zbl 1157.53014
Shen, Z.; Civi Yildirim, G.
29
2008
Curvature properties of \((\alpha,\beta)\)-metrics. Zbl 1151.53019
Bácsó, Sándor; Cheng, Xinyue; Shen, Zhongmin
24
2007
On a class of projectively flat Finsler metrics with constant flag curvature. Zbl 1120.53011
Li, Benling; Shen, Zhongmin
22
2007
On a class of weak Landsberg metrics. Zbl 1125.53015
Li, Ben-ling; Shen, Zhong-min
15
2007
On a projective class of Finsler metrics. Zbl 1127.53017
Najafi, B.; Shen, Zhongmin; Tayebi, Akbar
14
2007
Riemann-Finsler geometry with applications to information geometry. Zbl 1107.53013
Shen, Zhongmin
40
2006
Some constructions of projectively flat Finsler metrics. Zbl 1115.53048
Mo, Xiaohuan; Shen, Zhongmin; Yang, Chunhong
21
2006
Projectively flat Finsler metrics with almost isotropic s-curvature. Zbl 1108.53013
Cheng, Xinyue; Shen, Zhongmin
9
2006
The topology of open manifolds with nonnegative Ricci curvature. Zbl 1167.53309
Shen, Zhongmin; Sormani, Christina
4
2006
Riemann-Finsler geometry. Zbl 1085.53066
Chern, Shiing-Shen; Shen, Zhongmin
144
2005
Finsler manifolds with nonpositive flag curvature and constant S-curvature. Zbl 1076.53096
Shen, Zhongmin
22
2005
On Douglas metrics. Zbl 1082.53023
Chen, Xinyue; Shen, Zhongmin
14
2005
On negatively curved Finsler manifolds of scalar curvature. Zbl 1073.53095
Mo, Xiaohuan; Shen, Zhongmin
9
2005
Zermelo navigation on Riemannian manifolds. Zbl 1078.53073
Bao, David; Robles, Colleen; Shen, Zhongmin
146
2004
Landsberg curvature, \(S\)-curvature and Riemann curvature. Zbl 1074.53063
Shen, Zhongmin
20
2004
A sampler of Riemann-Finsler geometry. Zbl 1054.53001
12
2004
On the flag curvature of Finsler metrics of scalar curvature. Zbl 1063.53078
Chen, Xinyue; Mo, Xiaohuan; Shen, Zhongmin
60
2003
Projectively flat Finsler metrics of constant flag curvature. Zbl 1027.53095
Shen, Zhongmin
48
2003
Finsler metrics with \(K=0\) and \(S=0\). Zbl 1035.53104
Shen, Zhongmin
42
2003
Projectively flat Randers metrics with constant flag curvature. Zbl 1027.53096
Shen, Zhongmin
40
2003
Randers metrics with special curvature properties. Zbl 1100.53056
Chen, Xinyue; Shen, Zhongmin
25
2003
A comparison theorem on the Ricci curvature in projective geometry. Zbl 1043.53059
Chen, Xinyue; Shen, Zhongmin
6
2003
Finsler metrics of constant positive curvature on the Lie group \(S^3\). Zbl 1032.53063
Bao, David; Shen, Z.
36
2002
Two-dimensional Finsler metrics with constant flag curvature. Zbl 1027.53093
Shen, Zhongmin
23
2002
On strongly convex indicatrices in Minkowski geometry. Zbl 1031.53046
Ji, Min; Shen, Zhongmin
3
2002
Lectures on Finsler geometry. Zbl 0974.53002
Shen, Zhongmin
229
2001
Differential geometry of spray and Finsler spaces. Zbl 1009.53004
Shen, Zhongmin
167
2001
Eigenvalues and eigenfunctions of metric measure manifolds. Zbl 1018.58005
Ge, Yuxin; Shen, Zhongmin
25
2001
On projectively related Einstein metrics in Riemann-Finsler geometry. Zbl 0985.53017
Shen, Zhongmin
14
2001
On \(R\)-quadratic Finsler spaces. Zbl 0973.53058
Shen, Zhongmin
8
2001
The codimension one homology of a complete manifold with nonnegative Ricci curvature. Zbl 1024.53027
Shen, Zhongmin; Sormani, Christina
6
2001
Geometric meanings of curvatures in Finsler geometry. Zbl 0991.53051
Shen, Zhongmin
2
2001
The volume and topology of a complete Riemannian manifold. Zbl 0990.53022
Zhan, Huashui; Shen, Zhongmin
1
2001
Conjugate radius and positive scalar curvature. Zbl 1011.53051
Shen, Z.
1
2001
An introduction to Riemann-Finsler geometry. Zbl 0954.53001
Bao, D.; Chern, S.-S.; Shen, Z.
566
2000
Manifolds with quadratic curvature decay and slow volume growth. Zbl 0996.53026
Lott, John; Shen, Zhongmin
6
2000
On Finsler geometry of submanifolds. Zbl 0921.53037
Shen, Zhongmin
40
1998
The nonlinear Laplacian for Finsler manifolds. Zbl 0930.53047
Shen, Zhongmin
7
1998
Riemannian geometry of conical singular sets. Zbl 0967.53026
Liu, Zhong-Dong; Shen, Zhongmin
3
1998
Riemannian manifolds with conical singularities. Zbl 0957.53013
Liu, Zhong-Dong; Shen, Zhongmin; Yang, Dagang
1
1998
Volume comparison and its applications in Riemann-Finsler geometry. Zbl 0919.53021
Shen, Zhongmin
124
1997
Complete manifolds with nonnegative Ricci curvature and quadratically nonnegatively curved infinity. Zbl 0901.53023
Sha, Jiping; Shen, Zhongmin
9
1997
Rigidity issues on Finsler surfaces. Zbl 0933.53033
Bou, D.; Chern, S. S.; Shen, Z.
3
1997
Complete manifolds with nonnegative Ricci curvature and large volume growth. Zbl 0864.53028
Shen, Zhongmin
12
1996
Finsler manifolds of constant positive curvarture. Zbl 0864.53057
Shen, Zhongmin
6
1996
Finsler geometry. Joint summer research conference, July 16-20, 1995, Seattle, WA, USA. Zbl 0844.00019
4
1996
Some formulas of Gauss-Bonnet-Chern type in Riemann-Finsler geometry. Zbl 0845.53051
Shen, Zhongmin
4
1996
On the Gauss-Bonnet integrand for 4-dimensional Landsberg spaces. Zbl 0864.53053
Bao, David; Chern, S. S.; Shen, Z.
4
1996
Finsler geometry over the reals. Zbl 0854.53023
Bao, D.; Chern, S. S.; Shen, Z.
2
1996
A convergence theorem for Riemannian submanifolds. Zbl 0833.53042
Shen, Zhongmin
3
1995
On the volume of unit tangent spheres in a Finsler manifold. Zbl 0934.53016
Bao, David; Shen, Zhongmin
13
1994
Negative Ricci curvature and isometry group. Zbl 0820.53045
Dai, Xianzhe; Shen, Zhongmin; Wei, Guofang
9
1994
On a connection in Finsler geometry. Zbl 0824.53018
Shen, Zhongmin
4
1994
On complete Riemannian manifolds with collapsed ends. Zbl 0806.53050
Shen, Zhongmin
3
1994
Deforming metrics with curvature and injectivity radius bounded from below. Zbl 0794.53013
Shen, Zhongmin
2
1994
On the Betti numbers of Alexandrov spaces. Zbl 0824.53041
Liu, Zhong-Dong; Shen, Zhongmin
2
1994
On complete manifolds of nonnegative \(k\)th-Ricci curvature. Zbl 0783.53026
Shen, Zhongmin
22
1993
Volume growth and finite topological type. Zbl 0809.53048
Shen, Zhongmin; Wei, Guofang
8
1993
Manifolds with small excess and bounded curvature. Zbl 0791.53047
Petersen, Peter V; Shen, Zhongmin; Zhu, Shunhui
3
1993
Rigidity theorems for nonpositive Einstein metrics. Zbl 0765.53036
Shen, Zhongmin
2
1992
...and 5 more Documents
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Cited by 878 Authors

45 Mo, Xiaohuan
45 Tayebi, Akbar
36 Shen, Zhongmin
33 Deng, Shaoqiang
23 Cheng, Xinyue
23 Xu, Ming
20 Bidabad, Behroz
20 He, Qun
20 Peyghan, Esmaeil
19 Huang, Libing
19 Yin, Songting
18 Kristály, Alexandru
18 Xia, Qiaoling
17 Rafie-Rad, Mehdi
17 Shen, Yibing
16 Wu, Bingye
16 Zhu, Hongmei
15 Najafi, Behzad
15 Zhong, Chunping
14 Aldea, Nicoleta
14 Javaloyes, Miguel Angel
14 Li, Benling
14 Rezaei, Bahman
13 Ohta, Shin-ichi
13 Sabau, Sorin Vasile
13 Yang, Guojun
12 Chen, Guangzu
12 Matveev, Vladimir S.
12 Salimi Moghaddam, Hamid Reza
12 Shanker, Gauree
11 Long, Yiming
11 Munteanu, Gheorghe
11 Vincze, Csaba
11 Yu, Changtao
10 Bucataru, Ioan
10 Latifi, Dariush
10 Liu, Huaifu
10 Muzsnay, Zoltán
10 Qiu, Chunhui
9 Pişcoran, Laurian-Ioan
9 Toomanian, Megerdich
9 Zhao, Wei
8 Caponio, Erasmo
8 Cui, Ningwei
8 Elgendi, Salah Gomaa
8 Gabrani, Mehran
8 Kopacz, Piotr
8 Sánchez Caja, Miguel
8 Wang, Wei
8 Yan, Zaili
7 Gallego Torromé, Ricardo
7 Liu, Lihong
7 Saunders, David J.
7 Sevim, Esra Sengelen
7 Shen, Bin
7 Tiwari, Bankteshwar
7 Zhao, Lili
6 Duan, Huagui
6 Farkas, Csaba
6 Hou, Zixin
6 Ivanov, Sergei Vladimirovich
6 Li, Jintang
6 Minguzzi, Ettore
6 Sadeghi, Hassan
6 Soleiman, Amr
6 Yu, Yaoyong
6 Zhong, Tongde
6 Zhou, Linfeng
5 Atashafrouz, Mona
5 Bonnard, Bernard
5 Chen, Zhiqi
5 Crampin, Mike
5 Fukuoka, Ryuichi
5 Hu, Zhiguang
5 Kaur, Kirandeep
5 Mestdag, Tom
5 Sadeghzadeh, Nasrin
5 Tabatabaeifar, Tayebeh
5 Vacaru, Sergiu Ion
5 Xia, Hongchuan
5 Youssef, Nabil Labib
5 Zheng, Daxiao
4 Afanas’eva, Elena Sergeevna
4 Asanov, Gennadii S.
4 Balan, Vladimir
4 Balestro, Vitor
4 Chang, Zhe
4 Clayton, John D.
4 Crâşmăreanu, Mircea
4 Itokawa, Yoe
4 Kim, Changwan
4 Kozma, László
4 Li, Jinling
4 Lin, Hezi
4 Martini, Horst
4 Mebrate, Benyam
4 Mohammed, Ahmed
4 Nagy, Peter Tibor
4 Narasimhamurthy, Senajji Kamplappa
4 Parhizkar, Mojtaba
...and 778 more Authors
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Cited in 241 Serials

124 Differential Geometry and its Applications
55 Journal of Geometry and Physics
44 International Journal of Mathematics
34 International Journal of Geometric Methods in Modern Physics
31 Science China. Mathematics
30 Journal of Mathematical Analysis and Applications
28 The Journal of Geometric Analysis
26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
24 Results in Mathematics
23 Advances in Mathematics
20 Nonlinear Analysis. Real World Applications
19 Proceedings of the American Mathematical Society
18 Reports on Mathematical Physics
18 Geometriae Dedicata
17 Acta Mathematica Sinica. English Series
15 Calculus of Variations and Partial Differential Equations
15 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Israel Journal of Mathematics
13 European Journal of Mathematics
11 Transactions of the American Mathematical Society
11 Annals of Global Analysis and Geometry
10 Physics Letters. B
10 Manuscripta Mathematica
10 Mathematische Annalen
10 Balkan Journal of Geometry and its Applications (BJGA)
10 DGDS. Differential Geometry – Dynamical Systems
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Mathematische Zeitschrift
8 Journal of Mathematical Physics
8 Periodica Mathematica Hungarica
8 Journal of the Korean Mathematical Society
8 Chinese Annals of Mathematics. Series B
8 Bulletin of the Iranian Mathematical Society
8 Science in China. Series A
8 Journal of Mathematical Sciences (New York)
7 International Electronic Journal of Geometry
6 Classical and Quantum Gravity
6 Communications in Mathematical Physics
6 Mathematische Nachrichten
6 Osaka Journal of Mathematics
6 Tohoku Mathematical Journal. Second Series
6 Bulletin of the Korean Mathematical Society
6 Advances in Geometry
6 Mediterranean Journal of Mathematics
6 Frontiers of Mathematics in China
5 Journal of Differential Equations
5 Matematički Vesnik
5 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Indagationes Mathematicae. New Series
5 Turkish Journal of Mathematics
5 Applied Sciences
5 Journal of Dynamical Systems and Geometric Theories
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Communications in Mathematics
4 International Journal of Theoretical Physics
4 Canadian Mathematical Bulletin
4 Glasgow Mathematical Journal
4 Journal of Functional Analysis
4 Journal of Geometry
4 Mathematica Slovaca
4 Acta Mathematica Hungarica
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Applied Mathematics. Series B (English Edition)
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Journal of Zhejiang University. Science A
4 Advances in Calculus of Variations
4 Mathematical Sciences
4 Analysis and Geometry in Metric Spaces
3 Bulletin of the Australian Mathematical Society
3 General Relativity and Gravitation
3 Indian Journal of Pure & Applied Mathematics
3 Annales Polonici Mathematici
3 Archiv der Mathematik
3 Archivum Mathematicum
3 International Journal of Mathematics and Mathematical Sciences
3 Journal of Mathematical Psychology
3 Journal of Optimization Theory and Applications
3 Memoirs of the American Mathematical Society
3 Monatshefte für Mathematik
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Facta Universitatis. Series Mathematics and Informatics
3 Forum Mathematicum
3 Annals of Physics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică
3 Journal of Mathematical Imaging and Vision
3 Vietnam Journal of Mathematics
3 South East Asian Journal of Mathematics and Mathematical Sciences
3 Palestine Journal of Mathematics
2 Archive for Rational Mechanics and Analysis
2 Computer Physics Communications
2 Communications on Pure and Applied Mathematics
2 Nonlinearity
2 Ukrainian Mathematical Journal
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Duke Mathematical Journal
2 Pacific Journal of Mathematics
...and 141 more Serials
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Cited in 51 Fields

1,026 Differential geometry (53-XX)
195 Global analysis, analysis on manifolds (58-XX)
66 Partial differential equations (35-XX)
54 Topological groups, Lie groups (22-XX)
52 Calculus of variations and optimal control; optimization (49-XX)
50 Relativity and gravitational theory (83-XX)
42 Dynamical systems and ergodic theory (37-XX)
29 Several complex variables and analytic spaces (32-XX)
29 Mechanics of particles and systems (70-XX)
26 Ordinary differential equations (34-XX)
23 Manifolds and cell complexes (57-XX)
22 Functional analysis (46-XX)
21 Quantum theory (81-XX)
18 Geometry (51-XX)
16 Convex and discrete geometry (52-XX)
12 Real functions (26-XX)
11 Nonassociative rings and algebras (17-XX)
10 Statistics (62-XX)
10 Mechanics of deformable solids (74-XX)
9 Numerical analysis (65-XX)
8 Potential theory (31-XX)
7 Measure and integration (28-XX)
7 Functions of a complex variable (30-XX)
7 Operator theory (47-XX)
7 General topology (54-XX)
7 Probability theory and stochastic processes (60-XX)
7 Operations research, mathematical programming (90-XX)
6 Computer science (68-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Biology and other natural sciences (92-XX)
5 Group theory and generalizations (20-XX)
5 Algebraic topology (55-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Geophysics (86-XX)
4 Algebraic geometry (14-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Optics, electromagnetic theory (78-XX)
4 Systems theory; control (93-XX)
4 Information and communication theory, circuits (94-XX)
3 Combinatorics (05-XX)
3 Fluid mechanics (76-XX)
2 General and overarching topics; collections (00-XX)
2 Integral transforms, operational calculus (44-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Astronomy and astrophysics (85-XX)
1 Associative rings and algebras (16-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)

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