Edit Profile (opens in new tab) Shen, Zhongmin Co-Author Distance 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: 128 Publications since 1988, including 6 Books and 5 Additional arXiv Preprints 4 Contributions as Editor Reviewing Activity: 10 Reviews Co-Authors: 61 Co-Authors with 93 Joint Publications 1,319 Co-Co-Authors all top 5 Co-Authors 38 single-authored 11 Cheng, Xinyue 8 Bao, David 8 Li, Benling 8 Sevim, Esra Sengelen 7 Chern, Shiing-Shen 5 Chen, Xinyue 5 Yang, Guojun 4 Mo, Xiaohuan 4 Zhao, Lili 3 Liu, Zhongdong 3 Shen, Yibing 3 Ülgen, Semail 3 Wei, Guofang 3 Xia, Qiaoling 3 Zhao, Runzhong 2 Chen, Bin 2 Gabrani, Mehran 2 Huang, Libing 2 Sormani, Christina 2 Tayebi, Akbar 2 Yu, Changtao 2 Yuan, Lixia 2 Zhao, Wei 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 Ji, Min 1 Kolář, Ivan 1 Kowalski, Oldřich 1 Kristály, Alexandru 1 Landsberg, Joseph Montague 1 Liu, Huaifu 1 Lott, John 1 Marçal, Patrícia 1 Mo, Xiaohua 1 Petersen, Peter V 1 Robles, Colleen 1 Rossi, Olga 1 Sha, Jiping 1 Slovák, Jan 1 Sun, Liling 1 Tian, Yanfang 1 Vinogradov, Aleksandr Mikhaĭlovich 1 Wu, Jyh-Yang 1 Xing, Hao 1 Yang, Chunhong 1 Yang, DaGang 1 Yau, Shing-Tung 1 Yuan, Mingao 1 Zhan, Huashui 1 Zhou, Yusheng 1 Zhu, Shunhui 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) all top 5 Fields 126 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) Publications by Year all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year