## Shen, Zhongmin

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 Author ID: shen.zhongmin Published as: Shen, Zhongmin; Shen, Z.; Shen, ZhongMin; Shen, Zhong-min more...less 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
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### Co-Authors

 37 single-authored 11 Cheng, Xinyue 8 Bao, David 8 Li, Benling 7 Chern, Shiing-Shen 5 Chen, Xinyue 5 Mo, Xiaohuan 5 Yang, Guojun 4 Sevim, Esra Sengelen 4 Zhao, Lili 3 Liu, Zhongdong 3 Shen, Yibing 3 Wei, Guofang 3 Xia, Qiaoling 2 Sormani, Christina 2 Tayebi, Akbar 2 Yu, Changtao 1 Bácsó, Sándor 1 Bidabad, Behroz 1 Bou, D. 1 Bryant, Robert L. 1 Čap, Andreas 1 Chen, Guangzu 1 Civi Yildirim, G. 1 Çivi, Gülçin 1 Dai, Xianzhe 1 Ge, Yuxin 1 Gu, Weiqing 1 He, Qun 1 Huang, Libing 1 Ji, Min 1 Kolář, Ivan 1 Kowalski, Oldřich 1 Kristály, Alexandru 1 Landsberg, Joseph Montague 1 Liu, Huaifu 1 Lott, John 1 Petersen, Peter V 1 Robles, Colleen 1 Rossi, Olga 1 Sha, Jiping 1 Slovák, Jan 1 Sun, Liling 1 Tian, Yanfang 1 Ülgen, Semail 1 Vinogradov, Aleksandr Mikhaĭlovich 1 Wu, Jyh-Yang 1 Xing, Hao 1 Yang, Chunhong 1 Yang, DaGang 1 Yau, Shing-Tung 1 Yuan, Lixia 1 Yuan, Mingao 1 Zhan, Huashui 1 Zhao, Wei 1 Zhou, Yusheng 1 Zhu, Shunhui
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### 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)
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### Fields

 119 Differential geometry (53-XX) 15 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX)

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