Books
  1. 曲面の微分幾何学(局所理論から大域理論へ), 塩濱勝博・成 慶明 共著, 2006, 日本評論社
  2. 線形代数学入門(行列と行列式), 石川 晋・成 慶明 共著, 2006, 丸善株式会社
  3. 線形代数学大全, 石川 晋・成 慶明 共著, 
    第1部 とことんわかる線形代数学の基礎理論, 2008, 日本評論社
    
    第2部 じっくりまなぶ線形空間論, 2008, 日本評論社
    
    第3部 展望につながる線形代数学の発展理論, 2008, 日本評論社
    
Mathematical Papers
  1. Eigenvalues and eigenfunctions of the Laplacian on a Riemannian manifold, J. Northeast Univ. Tech. 8(1987), 520-526
  2. Complete hypersurface minimally immersed in a unit sphere, Mem. Fac. Sci. Kyushu Univ. Ser. A, 43 (1989), 7-13
  3. (with Y.D.Wang) Complete Riemannian manifolds minimally immersed in $S^{n+p}(1)$, Tsukuba J. Math., 10 (1989), 107-112
  4. Complete minimal hypersurfaces in $S^4(1)$ with constant scalar curvature, Osaka J. Math., 27 (1990), 885-892
  5. (with H. Nakagawa) Totally umbilical hypersurfaces, Hiroshima J. Math., 20 (1990), 1-10
  6. Complete space-like hypersurfaces in a de Sitter space with r=kH, Mem. Fac. Sci. Kyushu Univ. Ser. A, 44 (1990), 67-77
  7. Complete space-like hypersurfaces of a de Sitter space with constant mean curvature, Tsukuba J. Math. 14 (1990), 353-370
  8. Eigenvalues and eigenfunctions in quasi-Einsteinian manafolds, J. Northeast Univ. Tech. 11(1990), 75-80
  9. Properties of hypersurfaces in quasi-Einsteinian manifolds, Chinese Quarterly J. Math. 5(1990), 109-110
  10. Minimal submanifolds in a sphere, J. Northeast Univ. Tech. 12(1991), 421-427
  11. Minimal hypersurfaces in spheres, J. Northeast Univ. Tech. 12(1991), 206-212
  12. Complete space-like submanifolds in a de Sitter space with parallel mean curvature, Math. Z., 206 (1991), 333-339
  13. (with H.C. Yang) A note on the pinching constant of minimal hypersurfaces with constant scalar curvature in the unit sphere, Chinese Sci. Bull., 36 (1991), 1-6
  14. Complete hypersurfaces with constant mean curvature in space form of quasi-constant curvature, Chinese Quarterly J. Math. 6(1991) 324-329
  15. Complete totally real minimal submanifolds in a complex projective space, Mem. Fac. Sci. Kyushu Univ. Ser. A, 3 (1992), 93-103
  16. (with B.Jiang) 3-dimensional submanifolds of spheres with constant mean curvature, Tsukusa J. Math., 16 (1992), 321-334
  17. (with R.Aiyama) Complete space-like hypersurfaces in a Lorentz space form of dimension 4, Kodai J. Math., 15 (1992), 375-386
  18. (with B.Q.Wu) The generalized maximum principle and conformally flat spaces, Northeastern J. Math., 7 (1992), 53-57
  19. Submanifolds with parallel mean curvature vector in a sphere, J. Northeast Univ. Tech. 13(1992), 193-199
  20. Estimates of eigenvalues of elliptic operators, J. Northeast Univ. Tech. 13(1992), 306-312
  21. Complete spacelike hypersurfaces of Lorents space, Chinese Quarterly J. Math. 7(1992) 254-262.
  22. Complete hypersurfaces in a 4-dimensional unit sphere with constant mean curvature, Yokohama Math. J., 39(1992),125-139
  23. A characterization of complete Riemannian manifolds minimally immersed in the unit sphere, Nagoya Math. J., 131 (1993), 127-133
  24. A characterization of compact minimal hypersurfaces of in a unit sphere, Bull. Austral. Math. Soc., 49 (1993), 223-226
  25. The classification of complete hypersurfaces with constant mean curvature of space form of dimension 4, Mem. Fac. Sci. Kyushu Univ. Ser. A, 47 (1993), 79-101 and 48(1994) 441
  26. Hypersurfaces of $S^4(1)$ with constant quasi-Gauss-Kronecker curvature, Chinese Adv. Math., 22 (1993), 125-131
  27. (with X.R.Wan) Hypersurfaces of space form $M^4(c)$ with constant mean curvature, Proc. of Geometry and Global Analysis, Sendai, Japan 1994, 437-442
  28. (with S. Choi) Complete space-like submanifolds with parallel mean curvature vector of an indefinite space form, Tsukuba J. Math., 17(1993), 497-512
  29. Complete maximal spacelike hypersurfaces of $H_1^4(c)$, Manuscripta Math., 82 (1994), 149-160
  30. Hypersurfaces of a Lorentz space form, Arch. Math., 63 (1994), 271-281
  31. (with H.C.Yang) An estimate of the pinching constant of minimal hypersurfaces with constant scalar curvature in a unit sphere, Manuscripta Math., 84 (1994), 89-100
  32. (with X.R.Wan) Complete hypersurfaces of space form $R^4$ with constant mean curvature, Mh. Math., 118(1994), 171-204
  33. Space-like surfaces of an anti-de Sitter space Colloqu. Math., 56 (1994), 101-108
  34. Nonexistence of integral currents, Ann. of Global Analysis and Geometry, 13 (1995), 197-205
  35. Stable complete and noncompact hypersurfaces with constant mean curvature, Kyushu J. Math., 49(1995), 56-66
  36. The rigidity of Clifford torus $S^1(\sqrt{\frac1n})\times S^{n-1}( \sqrt{\frac{n-1}n})$, Comment. Math. Helv. 71(1996), 60-69
  37. Minimal hypersurfaces in a sphere, Proceeding of the First International Workshop on Differential Geometry, Kyungpook National University, Korea, December 1996, p.79-98
  38. (With K.Shiohama) Nonexistence of integral currents II, Kyushu J. Math. 51(1997), 149-164
  39. (With S. Ishikawa) Complete maximal spacelike submanifolds, Kodai Math. Jour. 20(1997), 208-217
  40. (With H.C.Yang) Chern's Conjecture on minimal hypersurfaces, Math. Zeit., 227(1998), 377-390
  41. (With S. Ishikawa) Space like hypersurfaces in de Sitter spaces with constant scalar curvature, Manuscripta Math. 95(1998), 499-505
  42. (With Y. Machigashira and Y. Sugioka) The relation between degree and dilation of continuous maps, Japanese J. Math. 24(1998), 183-190
  43. (With S. Ishikawa) A aharacterization of the Clifford torus, Proc. Amer. Math. Soc., 127(1999), 819-828
  44. (With S. Ishikawa and K. Shiohama) Conformally flat 3-manifolds with constant scalar curvature, J. Math. Soc. Japan, 51(1999), 209-226
  45. Complete maximal sapcelike surfaces in an anti-de Sitter space $H^4_2(c)$ , Glasgow Math. J., 42(2000), 139-156
  46. Complete submanifolds in spheres , Josai Mathematical Monographs 3(2001), 115-124
  47. Hypersurfaces in Euclidean spaces , Proc. Fifth Pacific Rim Geom. Conference, Tohoku University, Sensai, Japan. Tohoku Math. Publ. 20(2001), 33-42.
  48. Compact locally conformally flat Riemannian manifolds, Bull. London Math. Soc. 33(2001), 459-465
  49. (with K. Nonaka) Complete submanifolds in Euclidean spaces with parallel mean curvature vector , Manuscripta Math., 105(2001), 353-366
  50. (With S. Ishikawa and K. Shiohama) Conformally flat 3-manifolds with constant scalar curvature II, Japanese J. Math., 27(2001), 387-404
  51. Hypersurfaces in a unit sphere $S^{n+1}(1)$ with constant scalar curvature , J. London Math. Soc. 64 (2001), 755-768
  52. Complete submanifolds in Euclidean spaces with constant scalar curvature , Differential Geometry and Related Topics, Proceedings of the International Conference on Modern Mathematics and the International Symposium on Differential Geometry in Honour of Professor Su Buchin on the Centenary of His Birth, World Scientific, 2002, pp. 48-63.
  53. Submanifolds with constant scalar curvature , Proc. Royal Society Edinbergh 132 A (2002), 1163-1183.
  54. Complete hypersurfaces in a Euclidean space $\bold R^{n+1}$ with constant scalar curvature , Indiana Univ. Math. J. 51(2002), 53-68
  55. (With S. Ishikawa and K. Shiohama) Erratum to Conformally flat 3-manifolds with constant scalar curvature, J. Math. Soc. Japan, 54(2002), 997-1000
  56. Complete submanifolds in Euclidean spaces, Proceeding of the seventh International Workshop on Differential Geometry, Kyungpook National University, Korea, 7(2003), 17-27
  57. Compact hypersurfaces in a unit sphere with infinite fundamental group , Pacific J. Math., 212(2003), 49-56
  58. (with J.O. Baek and Y.J. Suh ) Complete space-like hypersurfaces in locally symmetric Lorentz spaces , J. Geom. Phys., 49(2004), 231-247.
  59. Spherical rigidities of submanifolds in Euclidean spaces , J. Math. Soc. Japan, 56(2004), 475-487.
  60. Curvatures of complete hypersurfaces in space forms, Proc. Royal Society Edinbergh 134 A (2004), 55-68.
  61. (with Hongcang Yang) Estimates on eigenvalues of Laplacian, Math. Ann. 331(2005), 445-460
  62. Topology and geometry of complete submanifolds in Euclidean spaces , Proceedings of PDEs, Subamanifolds and Affine Differential Geometry, Banach Center Publications Vol 69 (2005), 67-80.
  63. (with S. C. Shu and Y. J. Suh) Compact hypersurfaces in a unit sphere, Proc. Royal Soc. Edinburgh, 135A(2005), 1129-1137
  64. (with Y. J. Suh) Maximal space-like hypersurfaces in $H^4_1(-1)$ with zero Guass-Kronecker curvature , J. Korean Math. Soc., 43(2006), 147-157
  65. (with Hongcang Yang) Inequalities for eigenvalues of a clamped plate problem, Trans. Amer. Math. Soc., 358(2006), 2625-2635
  66. (with Hongcang Yang) Universal bounds for eigenvalues of a buckling problem, Comm. in Math. Phys., 262(2006), 663-675
  67. (with Hongcang Yang) Inequalities for eigenvalues of Laplacian on domains and compact complex hypersurfaces in complex projective spaces, J. Math. Soc. Japan, 58(2006), 545-561
  68. (with Shichang Shu) A Mobius characterization of submanifolds , J. Math. Soc. Japan, 58(2006), 904-925
  69. (with Hongcang Yang) Bounds on eigenvalues of Dirichlet Laplacian, Math. Ann., 337(2007), 159-175
  70. (with Hejun Sun and Hongcang Yang) Lower order eigenvalues of Dirichlet Laplacian, Manuscripta Math., 152(2008), 139-156
  71. (with Daguang Chen) Extrinsic estimates for eigenvalues of the Laplace operator, J. Math. Soc. Japan 60(2008), 325-339
  72. First eigenvalue of Jacobi operator of hypersurfaces with constant Scalar curvature, Proc. Amer. Math. Soc., 136(2008), 3309-3318.
  73. (with Young Jin Suh) Complete harmonic stable minimal hypersurfaces in a Riemannian manifold, Mh. Math., 154(2008), 121-134.
  74. (With Hongcang Yang) Universal inequalities for eigenvalues of a system of elliptic equations , Proc. Royal Soc. Edinburgh, 139 A(2009), 273-285.
  75. (with Y. He and H. Li) Scalar curvature of hypersurfaces with constant mean curvature in a sphere, Glasg. Math. J., 51(2009), 413-423
  76. (with T. Ichikawa and S. Mametsuka) Inequalities for eigenvalues of Laplacian with any order , Comm. Contemp. Math. 11(2009), 639-655.
  77. (with T. Ichikawa and S. Mametsuka) Estimates for eigenvalues of the poly-Laplacian with any order in a unit sphere , Calc. Var. and PDEs. 36(2009), 507-523.
  78. (With Hongcang Yang) Estimates for eigenvalues on Riemannian manifolds , J. Differential Equations, 247(2009), 2270-2281
  79. (with T. Ichikawa and S. Mametsuka) Estimates for eigenvalues of a clamped plate problem on Riemannian manifolds , J. Math. Soc. Japan, 62(2010),673-686.
  80. (with G. Huang and G. Wei) Estimates for lower order eigenvalues of a clamped plate problem , Calc. Var. and PDEs. 38(2010), 409-416.
  81. (With Xingxiao Li and Xuerong Qi) A classification of hypersurfaces with parallel para-Blaschke tensor in S^(m+1) , International Journal of Mathematics, 21(2010), 297-316
  82. (with H. Li and G. Wei) On some rigidity results of hypersurfaces in a sphere , Proc. Royal Soc. Edingburgh, 140A(2010),477-493.
  83. (with H. Li and G. Wei) Embedded hypersurfaces with constant mth mean curvature in a unit sphere , Comm. Contemporary Math., 12(2010),997-1013.
  84. (With Hongcang Yang) Universal inequalities for eigenvalues of a clamped plate problem on a hyperbolic space , Proc. Amer. Math. Soc., 139(2011), 461-471.
  85. (With G. Wei) A lower bound for eigenvalues of a clamped plate problem , Calculus of Variations and PDEs, (2011).
  86. (With D. Chen, Q. Wang and C. Xia) On eigenvalues of a system of elliptic equations and of the biharmonic operator, J. Math. Anal. Appl., 387(2012), 1146-1159
  87. (with Hongcang Yang) Universal bounds for eigenvalues of a buckling problem II, Trans. Amer. Math. Soc., 364(2012), 6139-6158
  88. (with Xuerong Qi) Eigenvalues of the Laplacian on Riemannian manifolds, International J. Math., 23(2012), No.7, 1250067-1-1250067-20.
  89. (with Xuerong Qi and Guoxin Wei) A lower bound for eigenvalues of the poly-Laplacian with arbitrary order, Pacific J. Math.,262(2013), 35-47
  90. (With G. Wei) Upper and lower bounds for eigenvalues of a clamped plate problem , J. Diff. Eqns., 255(2013), 220-233.
  91. (With H. Sun, G. Wei and L. Zeng) Estimates for lower bounds of eigenvalues of the poly- Laplacian and quadratic polynomial operator of the Laplacian, Proc.Royal Soc. Edinburgh, 143A(2013), 1147-1162..
  92. (With Y. Peng) Estimates for eigenvalues of L operator on self-shrinkers , Comm. Contemp. Math. 15(2013),1350011-1--1350011-22.
  93. Estimates for eigenvalues of the Paneitz operator , J. Diff. Eqns. 257(2014),3868-3886.
  94. (With Y. Peng) Self-shrinkers of the mean curvature flow,Proceedings of the workshop on differential geometry of submanifolds and its related topics, World Sci. 2013, pp. 147-163.
  95. (With Y. Peng) Complete self-shrinkers of the mean curvature flow, Calculus of Variations and PDEs,52(2015), 497-506. DOI 10.1007/s00526-014-0720-2.
  96. (with G. Wei) A gap theorem of self-shrinkers,Trans. Amer. Math. Soc., 367(2015), 4895-4915.
  97. Critical Points of the Weighted Area Functional, Geometry and Topology of Manifolds, Springer Proceedings in Math. & Stat. 154, pp. 81-96, DOI 10.1007/978-4-431-56021-0-4, 2016.
  98. (with S. Ogata and G. Wei) Rigidity theorems of λ-hypersurfaces, Comm. Analy. Geom., 24(2016), 45-58.
  99. (with S. Ogata) 2-dimensional complete self-shrinkers in R3 , Math. Z., 284(2016), 537-542.
  100. Universal estimates for eigenvalues and applications, Proceedings of the 6th International Congress of Chinese Mathematicians, ALM 37, pp. 37-52, Higher Education Press and International Press, MA, 2017.
  101. (with D. Chen) Estimates for the first eigenvalue of Jacobi operator on hypersurfaces with constant mean curvature in spheres, Calc. Var. PDEs, 56(2017), 50:1-12, DOI 10.1007/s00526-017-1132-x.
  102. (with X. Qi, Q. Wang and C. Xia), Inequalities for eigenvalues of the buckling problem of arbitrary ordera, Annali di Matematica Pure ed Applicat, 197(2018), 211-232, DOI 10.1007/s10231-017-0676-x
  103. (G. Wei) Complete λ-hypersurfaces of weighted volume-preserving mean curvature flow, Calc. Var. PDEs, 57(2018), Art 32:1-21, DOI 10.1007/s00526-018-1303-4.
  104. (G. Wei) Geometry of complete λ-hypersurfaces (in Chinese), Sci. Sin. Math. 48(2018), 699-710, doi:10.1360/N012017-00205.
  105. (G. Wei) Examples of compact λ-hypersurfaces in Euclidean spaces, Sci.China. Math. 2019,
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