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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
all top 5

Serials

12 International Journal of Mathematics
9 Publicationes Mathematicae Debrecen
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 Proceedings of the American Mathematical Society
3 Results in Mathematics
3 Transactions of the American Mathematical Society
3 Annals of Global Analysis and Geometry
2 Houston Journal of Mathematics
2 Periodica Mathematica Hungarica
2 American Journal of Mathematics
2 Indiana University Mathematics Journal
2 Journal of the London Mathematical Society. Second Series
2 Science in China. Series A
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 Tôhoku Mathematical Journal. Second Series
1 Differential Geometry and its Applications
1 The Journal of Geometric Analysis
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 Mediterranean Journal of Mathematics
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

111 Publications have been cited 3,486 times in 1,435 Documents Cited by Year
An introduction to Riemann-Finsler geometry. Zbl 0954.53001
Bao, D.; Chern, S.-S.; Shen, Z.
714
2000
Lectures on Finsler geometry. Zbl 0974.53002
Shen, Zhongmin
291
2001
Riemann-Finsler geometry. Zbl 1085.53066
Chern, Shiing-Shen; Shen, Zhongmin
231
2005
Differential geometry of spray and Finsler spaces. Zbl 1009.53004
Shen, Zhongmin
208
2001
Zermelo navigation on Riemannian manifolds. Zbl 1078.53073
Bao, David; Robles, Colleen; Shen, Zhongmin
171
2004
Volume comparison and its applications in Riemann-Finsler geometry. Zbl 0919.53021
Shen, Zhongmin
147
1997
Finsler geometry. An approach via Randers spaces. Zbl 1268.53081
Cheng, Xinyue; Shen, Zhongmin
69
2012
On the flag curvature of Finsler metrics of scalar curvature. Zbl 1063.53078
Chen, Xinyue; Mo, Xiaohuan; Shen, Zhongmin
66
2003
A class of Finsler metrics with isotropic S-curvature. Zbl 1165.53016
Cheng, Xinyue; Shen, Zhongmin
64
2009
Projectively flat Finsler metrics of constant flag curvature. Zbl 1027.53095
Shen, Zhongmin
58
2003
Finsler metrics with \(K=0\) and \(S=0\). Zbl 1035.53104
Shen, Zhongmin
54
2003
On Finsler geometry of submanifolds. Zbl 0921.53037
Shen, Zhongmin
52
1998
Riemann-Finsler geometry with applications to information geometry. Zbl 1107.53013
Shen, Zhongmin
51
2006
On a class of Landsberg metrics in Finsler geometry. Zbl 1181.53023
Shen, Zhongmin
50
2009
Finsler metrics of constant positive curvature on the Lie group \(S^3\). Zbl 1032.53063
Bao, David; Shen, Z.
47
2002
Projectively flat Randers metrics with constant flag curvature. Zbl 1027.53096
Shen, Zhongmin
45
2003
On projectively flat \((\alpha, \beta)\)-metrics. Zbl 1170.53012
Shen, Zhongmin
42
2009
Finsler metrics of scalar flag curvature with special non-Riemannian curvature properties. Zbl 1147.53020
Najafi, B.; Shen, Z.; Tayebi, A.
40
2008
On Randers metrics with isotropic \(S\)-curvature. Zbl 1151.53065
Shen, Zhongmin; Xing, Hao
40
2008
Randers metrics of scalar flag curvature. Zbl 1182.53022
Cheng, Xinyue; Shen, Zhongmin
36
2009
Randers metrics with special curvature properties. Zbl 1100.53056
Chen, Xinyue; Shen, Zhongmin
35
2003
Curvature properties of \((\alpha,\beta)\)-metrics. Zbl 1151.53019
Bácsó, Sándor; Cheng, Xinyue; Shen, Zhongmin
34
2007
On a class of projectively flat metrics with constant flag curvature. Zbl 1157.53014
Shen, Z.; Civi Yildirim, G.
33
2008
On a class of Douglas metrics. Zbl 1224.53043
Li, Benling; Shen, Yibing; Shen, Zhongmin
31
2009
On complete manifolds of nonnegative \(k\)th-Ricci curvature. Zbl 0783.53026
Shen, Zhongmin
29
1993
Eigenvalues and eigenfunctions of metric measure manifolds. Zbl 1018.58005
Ge, Yuxin; Shen, Zhongmin
28
2001
A class of Einstein \(({\alpha}, {\beta})\)-metrics. Zbl 1256.53045
Cheng, Xinyue; Shen, Zhongmin; Tian, Yanfang
28
2012
Introduction to modern Finsler geometry. Zbl 1344.53003
Shen, Yi-Bing; Shen, Zhongmin
27
2016
Landsberg curvature, \(S\)-curvature and Riemann curvature. Zbl 1074.53063
Shen, Zhongmin
26
2004
On locally dually flat Finsler metrics. Zbl 1213.53031
Cheng, Xinyue; Shen, Zhongmin; Zhou, Yusheng
25
2010
Finsler manifolds with nonpositive flag curvature and constant S-curvature. Zbl 1076.53096
Shen, Zhongmin
24
2005
On some non-Riemannian quantities in Finsler geometry. Zbl 1259.53024
Shen, Zhongmin
24
2013
On a class of projectively flat Finsler metrics with constant flag curvature. Zbl 1120.53011
Li, Benling; Shen, Zhongmin
23
2007
Projectively flat fourth root Finsler metrics. Zbl 1242.53027
Li, Benling; Shen, Zhongmin
23
2012
Some constructions of projectively flat Finsler metrics. Zbl 1115.53048
Mo, Xiaohuan; Shen, Zhongmin; Yang, Chunhong
23
2006
Two-dimensional Finsler metrics with constant flag curvature. Zbl 1027.53093
Shen, Zhongmin
23
2002
On a class of Ricci-flat Douglas metrics. Zbl 1251.53019
Sevim, Esra Sengelen; Shen, Zhongmin; Zhao, Lili
21
2012
On conformal vector fields on Randers manifolds. Zbl 1267.53027
Shen, ZhongMin; Xia, QiaoLing
21
2012
On a class of weak Landsberg metrics. Zbl 1125.53015
Li, Ben-ling; Shen, Zhong-min
20
2007
Constructions of Einstein Finsler metrics by warped product. Zbl 1401.53017
Chen, Bin; Shen, Zhongmin; Zhao, Lili
20
2018
On projectively related Einstein metrics in Riemann-Finsler geometry. Zbl 0985.53017
Shen, Zhongmin
19
2001
Ricci curvature tensor and non-Riemannian quantities. Zbl 1327.53022
Li, Benling; Shen, Zhongmin
19
2015
Sprays of isotropic curvature. Zbl 1381.53144
Li, Benling; Shen, Zhongmin
18
2018
On a projective class of Finsler metrics. Zbl 1127.53017
Najafi, B.; Shen, Zhongmin; Tayebi, Akbar
17
2007
On Douglas metrics. Zbl 1082.53023
Chen, Xinyue; Shen, Zhongmin
17
2005
On Randers metrics of quadratic Riemann curvature. Zbl 1171.53020
Li, Benling; Shen, Zhongmin
15
2009
On \(R\)-quadratic Finsler spaces. Zbl 0973.53058
Shen, Zhongmin
15
2001
On a class of Einstein Finsler metrics. Zbl 1293.53027
Shen, Zhongmin; Yu, Changtao
15
2014
On the volume of unit tangent spheres in a Finsler manifold. Zbl 0934.53016
Bao, David; Shen, Zhongmin
14
1994
On Einstein square metrics. Zbl 1349.53038
Shen, Zhongmin; Yu, Changtao
14
2014
On negatively curved Finsler manifolds of scalar curvature. Zbl 1073.53095
Mo, Xiaohuan; Shen, Zhongmin
13
2005
Complete manifolds with nonnegative Ricci curvature and large volume growth. Zbl 0864.53028
Shen, Zhongmin
13
1996
The nonlinear Laplacian for Finsler manifolds. Zbl 0930.53047
Shen, Zhongmin
12
1998
A sampler of Riemann-Finsler geometry. Zbl 1054.53001
12
2004
Some rigidity phenomena for Einstein metrics. Zbl 0691.53037
Shen, Zhongmin
11
1990
A class of Randers metrics of scalar flag curvature. Zbl 1280.53024
Shen, Zhongmin; Xia, Qiaoling
11
2013
Projectively flat Finsler metrics with almost isotropic s-curvature. Zbl 1108.53013
Cheng, Xinyue; Shen, Zhongmin
10
2006
Complete manifolds with nonnegative Ricci curvature and quadratically nonnegatively curved infinity. Zbl 0901.53023
Sha, Jiping; Shen, Zhongmin
10
1997
Volume growth and finite topological type. Zbl 0809.53048
Shen, Zhongmin; Wei, Guofang
10
1993
On a class of locally projectively flat Finsler metrics. Zbl 1344.53016
Li, Benling; Shen, Zhongmin
10
2016
A comparison theorem on the Ricci curvature in projective geometry. Zbl 1043.53059
Chen, Xinyue; Shen, Zhongmin
10
2003
Circle-preserving transformations in Finsler spaces. Zbl 1299.53143
Bidabad, Behroz; Shen, Zhongmin
10
2012
On sprays with vanishing \(\chi\)-curvature. Zbl 1485.53093
Shen, Zhongmin
10
2021
Negative Ricci curvature and isometry group. Zbl 0820.53045
Dai, Xianzhe; Shen, Zhongmin; Wei, Guofang
9
1994
On Riemannian manifolds of almost nonnegative curvature. Zbl 0741.53033
Shen, Zhongmin; Wei, Guofang
9
1991
On conformally flat \((\alpha, \beta)\)-metrics with constant flag curvature. Zbl 1363.53016
Chen, Guangzu; He, Qun; Shen, Zhongmin
9
2015
On square metrics of scalar flag curvature. Zbl 1417.53023
Shen, Zhongmin; Yang, Guojun
9
2018
The codimension one homology of a complete manifold with nonnegative Ricci curvature. Zbl 1024.53027
Shen, Zhongmin; Sormani, Christina
8
2001
Conformal vector fields on some Finsler manifolds. Zbl 1342.53039
Shen, ZhongMin; Yuan, MinGao
8
2016
On a class of Ricci-flat Finsler metrics in Finsler geometry. Zbl 1283.53025
Chen, Bin; Shen, Zhongmin; Zhao, Lili
8
2013
A sphere theorem for manifolds of positive Ricci curvature. Zbl 0678.53032
Shen, Zhongmin
7
1989
Manifolds with quadratic curvature decay and slow volume growth. Zbl 0996.53026
Lott, John; Shen, Zhongmin
7
2000
Finsler manifolds of constant positive curvarture. Zbl 0864.53057
Shen, Zhongmin
7
1996
Spherically symmetric Finsler metrics with constant Ricci and flag curvature. Zbl 1363.53067
Sevim, Esra Sengelen; Shen, Zhongmin; Ülgen, Semail
7
2015
On the projective Ricci curvature. Zbl 1470.53023
Shen, Zhongmin; Sun, Liling
6
2021
Some formulas of Gauss-Bonnet-Chern type in Riemann-Finsler geometry. Zbl 0845.53051
Shen, Zhongmin
5
1996
The topology of open manifolds with nonnegative Ricci curvature. Zbl 1167.53309
Shen, Zhongmin; Sormani, Christina
5
2006
Conformal vector fields on a locally projectively flat Randers manifold. Zbl 1340.53038
Shen, Zhongmin; Xia, Qiaoling
5
2014
On strongly convex indicatrices in Minkowski geometry. Zbl 1031.53046
Ji, Min; Shen, Zhongmin
5
2002
Rigidity issues on Finsler surfaces. Zbl 0933.53033
Bou, D.; Chern, S. S.; Shen, Z.
4
1997
A convergence theorem for Riemannian submanifolds. Zbl 0833.53042
Shen, Zhongmin
4
1995
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
On the Gauss-Bonnet integrand for 4-dimensional Landsberg spaces. Zbl 0864.53053
Bao, David; Chern, S. S.; Shen, Z.
4
1996
Randers metrics of reversible curvature. Zbl 1264.53069
Shen, Zhongmin; Yang, Guojun
4
2013
Riemannian geometry of conical singular sets. Zbl 0967.53026
Liu, Zhong-Dong; Shen, Zhongmin
3
1998
On the Betti numbers of Alexandrov spaces. Zbl 0824.53041
Liu, Zhong-Dong; Shen, Zhongmin
3
1994
On a class of two-dimensional Finsler manifolds of isotropic S-curvature. Zbl 1384.53020
Cheng, Xinyue; Shen, Zhongmin; Yang, Guojun
3
2018
Geometric meanings of curvatures in Finsler geometry. Zbl 0991.53051
Shen, Zhongmin
3
2001
Finiteness and vanishing theorems for complete open Riemannian manifolds. Zbl 0696.53028
Shen, Zhongmin
3
1989
Rigidity theorems for nonpositive Einstein metrics. Zbl 0765.53036
Shen, Zhongmin
3
1992
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 weakly Einstein Finsler metrics. Zbl 1307.53061
Shen, Zhongmin; Yang, Guojun
3
2014
Einstein Finsler metrics and Killing vector fields on Riemannian manifolds. Zbl 1367.53021
Cheng, XinYue; Shen, ZhongMin
3
2017
A characterization of Randers metrics of scalar flag curvature. Zbl 1320.53028
Shen, Zhongmin; Civi, Gulcin
3
2012
Homogeneous Einstein manifolds with vanishing \(S\) curvature. Zbl 1427.53063
Huang, Libing; Shen, Zhongmin
3
2019
Ricci-flat Finsler metrics by warped product. Zbl 1512.53024
Marçal, Patrícia; Shen, Zhongmin
3
2023
Conjugate radius and positive scalar curvature. Zbl 1011.53051
Shen, Z.
2
2001
On Riemannian manifolds with \(\epsilon\)-maximal diameter and bounded curvature. Zbl 0764.53036
Shen, Zhongmin
2
1992
Ricci-flat Finsler metrics by warped product. Zbl 1512.53024
Marçal, Patrícia; Shen, Zhongmin
3
2023
On a class of weakly weighted Einstein metrics. Zbl 1515.53022
Shen, Zhongmin; Zhao, Runzhong
2
2022
Some inequalities on Finsler manifolds with weighted Ricci curvature bounded below. Zbl 1492.53029
Cheng, Xinyue; Shen, Zhongmin
2
2022
Nonlinear spectrums of Finsler manifolds. Zbl 1491.53026
Kristály, Alexandru; Shen, Zhongmin; Yuan, Lixia; Zhao, Wei
1
2022
On sprays with vanishing \(\chi\)-curvature. Zbl 1485.53093
Shen, Zhongmin
10
2021
On the projective Ricci curvature. Zbl 1470.53023
Shen, Zhongmin; Sun, Liling
6
2021
Homogeneous Einstein manifolds with vanishing \(S\) curvature. Zbl 1427.53063
Huang, Libing; Shen, Zhongmin
3
2019
On concircular transformations in Finsler geometry. Zbl 1425.53030
Shen, Zhongmin; Yang, Guojun
1
2019
Constructions of Einstein Finsler metrics by warped product. Zbl 1401.53017
Chen, Bin; Shen, Zhongmin; Zhao, Lili
20
2018
Sprays of isotropic curvature. Zbl 1381.53144
Li, Benling; Shen, Zhongmin
18
2018
On square metrics of scalar flag curvature. Zbl 1417.53023
Shen, Zhongmin; Yang, Guojun
9
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
3
2017
Introduction to modern Finsler geometry. Zbl 1344.53003
Shen, Yi-Bing; Shen, Zhongmin
27
2016
On a class of locally projectively flat Finsler metrics. Zbl 1344.53016
Li, Benling; Shen, Zhongmin
10
2016
Conformal vector fields on some Finsler manifolds. Zbl 1342.53039
Shen, ZhongMin; Yuan, MinGao
8
2016
Ricci curvature tensor and non-Riemannian quantities. Zbl 1327.53022
Li, Benling; Shen, Zhongmin
19
2015
On conformally flat \((\alpha, \beta)\)-metrics with constant flag curvature. Zbl 1363.53016
Chen, Guangzu; He, Qun; Shen, Zhongmin
9
2015
Spherically symmetric Finsler metrics with constant Ricci and flag curvature. Zbl 1363.53067
Sevim, Esra Sengelen; Shen, Zhongmin; Ülgen, Semail
7
2015
On a class of Einstein Finsler metrics. Zbl 1293.53027
Shen, Zhongmin; Yu, Changtao
15
2014
On Einstein square metrics. Zbl 1349.53038
Shen, Zhongmin; Yu, Changtao
14
2014
Conformal vector fields on a locally projectively flat Randers manifold. Zbl 1340.53038
Shen, Zhongmin; Xia, Qiaoling
5
2014
On a class of weakly Einstein Finsler metrics. Zbl 1307.53061
Shen, Zhongmin; Yang, Guojun
3
2014
On some non-Riemannian quantities in Finsler geometry. Zbl 1259.53024
Shen, Zhongmin
24
2013
A class of Randers metrics of scalar flag curvature. Zbl 1280.53024
Shen, Zhongmin; Xia, Qiaoling
11
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
4
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
69
2012
A class of Einstein \(({\alpha}, {\beta})\)-metrics. Zbl 1256.53045
Cheng, Xinyue; Shen, Zhongmin; Tian, Yanfang
28
2012
Projectively flat fourth root Finsler metrics. Zbl 1242.53027
Li, Benling; Shen, Zhongmin
23
2012
On a class of Ricci-flat Douglas metrics. Zbl 1251.53019
Sevim, Esra Sengelen; Shen, Zhongmin; Zhao, Lili
21
2012
On conformal vector fields on Randers manifolds. Zbl 1267.53027
Shen, ZhongMin; Xia, QiaoLing
21
2012
Circle-preserving transformations in Finsler spaces. Zbl 1299.53143
Bidabad, Behroz; Shen, Zhongmin
10
2012
A characterization of Randers metrics of scalar flag curvature. Zbl 1320.53028
Shen, Zhongmin; Civi, Gulcin
3
2012
A new quantity in Riemann-Finsler geometry. Zbl 1254.53105
Mo, Xiaohuan; Shen, Zhongmin; Liu, Huaifu
1
2012
On the Ricci curvature tensor in Finsler geometry. Zbl 1324.53068
Shen, Zhongmin
1
2012
On locally dually flat Finsler metrics. Zbl 1213.53031
Cheng, Xinyue; Shen, Zhongmin; Zhou, Yusheng
25
2010
A class of Finsler metrics with isotropic S-curvature. Zbl 1165.53016
Cheng, Xinyue; Shen, Zhongmin
64
2009
On a class of Landsberg metrics in Finsler geometry. Zbl 1181.53023
Shen, Zhongmin
50
2009
On projectively flat \((\alpha, \beta)\)-metrics. Zbl 1170.53012
Shen, Zhongmin
42
2009
Randers metrics of scalar flag curvature. Zbl 1182.53022
Cheng, Xinyue; Shen, Zhongmin
36
2009
On a class of Douglas metrics. Zbl 1224.53043
Li, Benling; Shen, Yibing; Shen, Zhongmin
31
2009
On Randers metrics of quadratic Riemann curvature. Zbl 1171.53020
Li, Benling; Shen, Zhongmin
15
2009
Finsler metrics of scalar flag curvature with special non-Riemannian curvature properties. Zbl 1147.53020
Najafi, B.; Shen, Z.; Tayebi, A.
40
2008
On Randers metrics with isotropic \(S\)-curvature. Zbl 1151.53065
Shen, Zhongmin; Xing, Hao
40
2008
On a class of projectively flat metrics with constant flag curvature. Zbl 1157.53014
Shen, Z.; Civi Yildirim, G.
33
2008
Curvature properties of \((\alpha,\beta)\)-metrics. Zbl 1151.53019
Bácsó, Sándor; Cheng, Xinyue; Shen, Zhongmin
34
2007
On a class of projectively flat Finsler metrics with constant flag curvature. Zbl 1120.53011
Li, Benling; Shen, Zhongmin
23
2007
On a class of weak Landsberg metrics. Zbl 1125.53015
Li, Ben-ling; Shen, Zhong-min
20
2007
On a projective class of Finsler metrics. Zbl 1127.53017
Najafi, B.; Shen, Zhongmin; Tayebi, Akbar
17
2007
Riemann-Finsler geometry with applications to information geometry. Zbl 1107.53013
Shen, Zhongmin
51
2006
Some constructions of projectively flat Finsler metrics. Zbl 1115.53048
Mo, Xiaohuan; Shen, Zhongmin; Yang, Chunhong
23
2006
Projectively flat Finsler metrics with almost isotropic s-curvature. Zbl 1108.53013
Cheng, Xinyue; Shen, Zhongmin
10
2006
The topology of open manifolds with nonnegative Ricci curvature. Zbl 1167.53309
Shen, Zhongmin; Sormani, Christina
5
2006
Riemann-Finsler geometry. Zbl 1085.53066
Chern, Shiing-Shen; Shen, Zhongmin
231
2005
Finsler manifolds with nonpositive flag curvature and constant S-curvature. Zbl 1076.53096
Shen, Zhongmin
24
2005
On Douglas metrics. Zbl 1082.53023
Chen, Xinyue; Shen, Zhongmin
17
2005
On negatively curved Finsler manifolds of scalar curvature. Zbl 1073.53095
Mo, Xiaohuan; Shen, Zhongmin
13
2005
Zermelo navigation on Riemannian manifolds. Zbl 1078.53073
Bao, David; Robles, Colleen; Shen, Zhongmin
171
2004
Landsberg curvature, \(S\)-curvature and Riemann curvature. Zbl 1074.53063
Shen, Zhongmin
26
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
66
2003
Projectively flat Finsler metrics of constant flag curvature. Zbl 1027.53095
Shen, Zhongmin
58
2003
Finsler metrics with \(K=0\) and \(S=0\). Zbl 1035.53104
Shen, Zhongmin
54
2003
Projectively flat Randers metrics with constant flag curvature. Zbl 1027.53096
Shen, Zhongmin
45
2003
Randers metrics with special curvature properties. Zbl 1100.53056
Chen, Xinyue; Shen, Zhongmin
35
2003
A comparison theorem on the Ricci curvature in projective geometry. Zbl 1043.53059
Chen, Xinyue; Shen, Zhongmin
10
2003
Finsler metrics of constant positive curvature on the Lie group \(S^3\). Zbl 1032.53063
Bao, David; Shen, Z.
47
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
5
2002
Lectures on Finsler geometry. Zbl 0974.53002
Shen, Zhongmin
291
2001
Differential geometry of spray and Finsler spaces. Zbl 1009.53004
Shen, Zhongmin
208
2001
Eigenvalues and eigenfunctions of metric measure manifolds. Zbl 1018.58005
Ge, Yuxin; Shen, Zhongmin
28
2001
On projectively related Einstein metrics in Riemann-Finsler geometry. Zbl 0985.53017
Shen, Zhongmin
19
2001
On \(R\)-quadratic Finsler spaces. Zbl 0973.53058
Shen, Zhongmin
15
2001
The codimension one homology of a complete manifold with nonnegative Ricci curvature. Zbl 1024.53027
Shen, Zhongmin; Sormani, Christina
8
2001
Geometric meanings of curvatures in Finsler geometry. Zbl 0991.53051
Shen, Zhongmin
3
2001
Conjugate radius and positive scalar curvature. Zbl 1011.53051
Shen, Z.
2
2001
The volume and topology of a complete Riemannian manifold. Zbl 0990.53022
Zhan, Huashui; Shen, Zhongmin
1
2001
An introduction to Riemann-Finsler geometry. Zbl 0954.53001
Bao, D.; Chern, S.-S.; Shen, Z.
714
2000
Manifolds with quadratic curvature decay and slow volume growth. Zbl 0996.53026
Lott, John; Shen, Zhongmin
7
2000
On Finsler geometry of submanifolds. Zbl 0921.53037
Shen, Zhongmin
52
1998
The nonlinear Laplacian for Finsler manifolds. Zbl 0930.53047
Shen, Zhongmin
12
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
147
1997
Complete manifolds with nonnegative Ricci curvature and quadratically nonnegatively curved infinity. Zbl 0901.53023
Sha, Jiping; Shen, Zhongmin
10
1997
Rigidity issues on Finsler surfaces. Zbl 0933.53033
Bou, D.; Chern, S. S.; Shen, Z.
4
1997
Complete manifolds with nonnegative Ricci curvature and large volume growth. Zbl 0864.53028
Shen, Zhongmin
13
1996
Finsler manifolds of constant positive curvarture. Zbl 0864.53057
Shen, Zhongmin
7
1996
Some formulas of Gauss-Bonnet-Chern type in Riemann-Finsler geometry. Zbl 0845.53051
Shen, Zhongmin
5
1996
Finsler geometry. Joint summer research conference, July 16-20, 1995, Seattle, WA, USA. Zbl 0844.00019
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
4
1995
On the volume of unit tangent spheres in a Finsler manifold. Zbl 0934.53016
Bao, David; Shen, Zhongmin
14
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 the Betti numbers of Alexandrov spaces. Zbl 0824.53041
Liu, Zhong-Dong; Shen, Zhongmin
3
1994
...and 11 more Documents
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Cited by 1,062 Authors

52 Tayebi, Akbar
49 Mo, Xiaohuan
46 Shen, Zhongmin
34 Deng, Shaoqiang
28 Cheng, Xinyue
28 Xu, Ming
24 Bidabad, Behroz
23 He, Qun
21 Huang, Libing
21 Xia, Qiaoling
21 Yin, Songting
20 Kristály, Alexandru
20 Peyghan, Esmaeil
20 Rezaei, Bahman
20 Zhu, Hongmei
18 Gabrani, Mehran
18 Rafie-Rad, Mehdi
18 Shanker, Gauree
18 Zhong, Chunping
17 Aldea, Nicoleta
17 Javaloyes, Miguel Angel
17 Shen, Yibing
16 Najafi, Behzad
16 Sevim, Esra Sengelen
16 Wu, Bingye
15 Li, Benling
15 Ohta, Shin-ichi
15 Sabau, Sorin Vasile
15 Salimi Moghaddam, Hamid Reza
15 Tiwari, Bankteshwar
15 Yang, Guojun
14 Chen, Guangzu
14 Elgendi, Salah Gomaa
14 Matveev, Vladimir S.
12 Caponio, Erasmo
12 Latifi, Dariush
12 Muzsnay, Zoltán
12 Qiu, Chunhui
12 Vincze, Csaba
12 Zhao, Wei
11 Bucataru, Joan
11 Kopacz, Piotr
11 Long, Yiming
11 Munteanu, Gheorghe
11 Yan, Zaili
11 Yu, Changtao
10 Liu, Huaifu
10 Pişcoran, Laurian-Ioan
10 Sadeghi, Hassan
10 Sánchez Caja, Miguel
10 Toomanian, Megerdich
9 Cui, Ningwei
9 Gallego Torromé, Ricardo
9 Minguzzi, Ettore
9 Wang, Wei
8 Gangopadhyay, Ranadip
8 He, Yong
8 Kaur, Kirandeep
8 Kozma, László
8 Li, Jintang
8 Liu, Lihong
8 Shen, Bin
8 Soleiman, Amr
8 Zhang, Xiaoling
8 Zhao, Lili
7 Duan, Huagui
7 Dušek, Zdeněk
7 Ivanov, Sergei Vladimirovich
7 Mestdag, Tom
7 Pfeifer, Christian
7 Rani, Sarita
7 Saunders, David J.
7 Vacaru, Sergiu Ion
7 Xia, Hongchuan
7 Zheng, Daxiao
7 Zhou, Linfeng
6 Asanov, Gennadii S.
6 Atashafrouz, Mona
6 Bonnard, Bernard
6 Chen, Bin
6 Chen, Zhiqi
6 Crampin, Mike
6 Farkas, Csaba
6 Hou, Zixin
6 Kim, Changwan
6 Liu, Hui
6 Tabatabaeifar, Tayebeh
6 Yu, Yaoyong
6 Zhong, Tongde
5 Azami, Shahroud
5 Florack, Luc M. J.
5 Fukuoka, Ryuichi
5 Fuster, Andrea
5 Habibi, Parastoo
5 Hu, Zhiguang
5 Li, Hongjun
5 Masiello, Antonio
5 Sadeghzadeh, Nasrin
5 Shimada, Hideo
5 Tan, Ju
...and 962 more Authors
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Cited in 275 Serials

144 Differential Geometry and its Applications
61 Journal of Geometry and Physics
49 International Journal of Mathematics
47 International Journal of Geometric Methods in Modern Physics
42 The Journal of Geometric Analysis
42 Journal of Finsler Geometry and its Applications
37 Science China. Mathematics
33 Journal of Mathematical Analysis and Applications
28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
28 Results in Mathematics
24 Advances in Mathematics
22 Reports on Mathematical Physics
22 Calculus of Variations and Partial Differential Equations
21 Proceedings of the American Mathematical Society
20 Acta Mathematica Sinica. English Series
20 Nonlinear Analysis. Real World Applications
19 Geometriae Dedicata
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 Israel Journal of Mathematics
14 European Journal of Mathematics
13 Balkan Journal of Geometry and its Applications (BJGA)
12 Classical and Quantum Gravity
12 Mathematische Annalen
12 Annals of Global Analysis and Geometry
12 Bulletin of the Iranian Mathematical Society
12 DGDS. Differential Geometry – Dynamical Systems
11 Journal of Mathematical Physics
11 Periodica Mathematica Hungarica
11 Annali di Matematica Pura ed Applicata. Serie Quarta
11 Transactions of the American Mathematical Society
11 Journal of Mathematical Sciences (New York)
10 Physics Letters. B
10 Manuscripta Mathematica
10 Mathematische Zeitschrift
10 Bulletin of the Korean Mathematical Society
9 Journal of the Korean Mathematical Society
8 Mathematische Nachrichten
8 Tôhoku Mathematical Journal. Second Series
8 Chinese Annals of Mathematics. Series B
8 Science in China. Series A
8 Mediterranean Journal of Mathematics
8 International Electronic Journal of Geometry
7 Houston Journal of Mathematics
7 Turkish Journal of Mathematics
7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Communications in Mathematical Physics
6 Journal of Functional Analysis
6 Osaka Journal of Mathematics
6 Advances in Geometry
6 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
6 Frontiers of Mathematics in China
5 General Relativity and Gravitation
5 International Journal of Theoretical Physics
5 Annales Polonici Mathematici
5 Archivum Mathematicum
5 Canadian Mathematical Bulletin
5 Journal of Differential Equations
5 Journal of Geometry
5 Journal of Optimization Theory and Applications
5 Matematički Vesnik
5 Mathematica Slovaca
5 Acta Mathematica Hungarica
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Facta Universitatis. Series Mathematics and Informatics
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 Applied Sciences
5 Acta Mathematica Scientia. Series B. (English Edition)
5 Journal of Dynamical Systems and Geometric Theories
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Advances in Calculus of Variations
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Communications in Mathematics
5 Analysis and Geometry in Metric Spaces
4 Archiv der Mathematik
4 Glasgow Mathematical Journal
4 Memoirs of the American Mathematical Society
4 Applied Mathematics. Series B (English Edition)
4 Discrete and Continuous Dynamical Systems
4 Communications in Contemporary Mathematics
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Journal of Mathematical Physics, Analysis, Geometry
4 Journal of Zhejiang University. Science A
4 Mathematical Sciences
3 Bulletin of the Australian Mathematical Society
3 Indian Journal of Pure & Applied Mathematics
3 Nonlinearity
3 Ukrainian Mathematical Journal
3 International Journal of Mathematics and Mathematical Sciences
3 The Journal of the Indian Mathematical Society. New Series
3 Journal of Mathematical Psychology
3 Monatshefte für Mathematik
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
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 Filomat
...and 175 more Serials
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Cited in 51 Fields

1,284 Differential geometry (53-XX)
233 Global analysis, analysis on manifolds (58-XX)
81 Partial differential equations (35-XX)
71 Relativity and gravitational theory (83-XX)
66 Calculus of variations and optimal control; optimization (49-XX)
65 Topological groups, Lie groups (22-XX)
50 Dynamical systems and ergodic theory (37-XX)
37 Several complex variables and analytic spaces (32-XX)
36 Mechanics of particles and systems (70-XX)
33 Ordinary differential equations (34-XX)
26 Functional analysis (46-XX)
26 Quantum theory (81-XX)
24 Manifolds and cell complexes (57-XX)
23 Convex and discrete geometry (52-XX)
21 Geometry (51-XX)
15 Real functions (26-XX)
13 Nonassociative rings and algebras (17-XX)
13 Mechanics of deformable solids (74-XX)
12 General topology (54-XX)
11 Numerical analysis (65-XX)
10 Potential theory (31-XX)
10 Statistics (62-XX)
8 Measure and integration (28-XX)
8 Functions of a complex variable (30-XX)
8 Probability theory and stochastic processes (60-XX)
8 Operations research, mathematical programming (90-XX)
7 Group theory and generalizations (20-XX)
7 Algebraic topology (55-XX)
7 Computer science (68-XX)
7 Optics, electromagnetic theory (78-XX)
7 Geophysics (86-XX)
7 Biology and other natural sciences (92-XX)
6 Algebraic geometry (14-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Operator theory (47-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Systems theory; control (93-XX)
5 Information and communication theory, circuits (94-XX)
4 Combinatorics (05-XX)
3 Integral transforms, operational calculus (44-XX)
3 Fluid mechanics (76-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Astronomy and astrophysics (85-XX)
2 General and overarching topics; collections (00-XX)
2 Difference and functional equations (39-XX)
1 Associative rings and algebras (16-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)

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