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Publications of Guofang Wei

Link to my papers on ArXiv

  1. Examples of complete manifolds of positive Ricci curvature with nilpotent isometry groups, Bull. Amer. Math. Soci. Vol. 19, no. 1 (1988), 311-313. pdf file

  2. Aspects of positively Ricci curved spaces: new examples and the fundamental group, Ph.D. thesis, SUNY at Stony Brook, 1989. pdf file

  3. On the fundamental groups of manifolds with almost-nonnegative Ricci curvature, Proc. of AMS Vol. 110 (1990), 197-199. pdf file

  4. with Z. Shen, On Riemannian manifolds of almost nonnegative curvature, Indiana Univ. Math. J. Vol. 40 (1991), 551-565. pdf file

  5. with Z. Shen, Volume growth and finite topological type, Proc. Symposia in Pure Math. 54 (1993), 539-549. pdf file

  6. with X. Dai and Z. Shen, Negative Ricci curvature and isometry group, Duke Math J. 76 (1994) 59-73. pdf file

  7. with X. Dai, Finite part of the spectrum and isospectrality, Contemp. Math. 173 (1994) 99-107. pdf file

  8. with X. Dai, Toponogov type comparison estimate for Ricci curvature, Math. Ann. 303 (1995) 297-306. pdf file

  9. with X. Dai, R. Ye, Smoothing Riemannian metrics with Ricci curvature bounds, Manu. Math. 90 (1996) 46-61. pdf file

  10. with P. Petersen, S. Shteingold, Comparison geometry with integral curvature bounds, GAFA 7 (1997) 1011-1030. pdf file

  11. with P. Petersen, Relative volume comparison with integral curvature bounds, GAFA 7 (1997) 1031-1045. pdf file

  12. Ricci curvature and betti numbers, J. Geom. Anal. 7 (1997) 493-509. pdf file

  13. with P. Petersen, R. Ye, Controlled geometry via smoothing, Comment. Math. Helv. 74 (1999) 345-363. pdf file

  14. with X. Dai, P. Petersen, Integral pinching theorems, Manu. Math. 101 (2000) 143-152. pdf file .

  15. with P. Petersen, Analysis and geometry on manifolds with integral Ricci curvature bounds, Tran. AMS 353 (2001), no. 2, 457--478. pdf file

  16. with C. Sormani, Hausdorff convergence and universal covers, Trans. Amer. Math. Soc. 353 (2001), 3585-3602. pdf file

  17. with I. Belegradek, Metrics of positive Ricci curvature on vector bundles over nilmanifolds, GAFA 12 (2002) 56-72. pdf file

  18. with X. Dai, A heat kernel lower bound for integral Ricci curvature, Michigan Math. Jour. 52 (2004) pp. 61-69. pdf file .

  19. with C. Sormani, Universal covers for Hausdorff limits of noncompact spaces, Trans. Amer. Math. Soc. 356 no.3 (2004), 1233-1270. pdf file .

  20. with I. Belegradek, Metrics of positive Ricci curvature on bundles, International Math Research Notices 2004 (2004), no. 57 pp. 3079-3096. pdf file .

  21. with C. Sormani, The covering spectrum of a compact length space, Journal of Diff. Geom. 67 (2004) 35-77. pdf file.

  22. with X. Dai, X. Wang, On the Stability of Riemannian Manifold with Parallel Spinors, Inven. Math. 161 no. 1 (2005), 151-176. pdf file .

  23. with J. Ennis Describing the Universal Cover of a Compact Limit, Differential Geometry and its Applications 24, Issue 5 (2006), 554-562 pdf file .

  24. with X. Dai Hitchin-Thorpe Inequality for Noncompact Einstein $4$-Manifolds Advances in Mathematics 214 (2007), 551-570 pdf file .

  25. Manifolds with A Lower Ricci Curvature Bound, Surveys in Differential Geometry XI (2007), 203-228 pdf file .

  26. with X. Dai, X. Wang On the Variational Stability of K\"ahler-Einstein Metrics, Comm. in Analysis and Geom. 15, no. 4 (2007), 669-693 pdf file .

  27. with W. Wylie Comparison Geometry for the Smooth Metric Measure Spaces Proceedings of the 4th International Congress of Chinese Mathematicians, Hangzhou, China, 2007, Vol. II 191-202. pdf file .

  28. with R. Ye A Neumann Type Maximum Principle for the Laplace Operator on Compact Riemannian Manifolds Journal of Geometric Analysis 19, no. 3 (2009), 719-736 pdf file .

  29. with W. Wylie Comparison Geometry for the Bakry-Emery Ricci Tensor , Journal of Diff. Geom. 83, no. 2 (2009), 377-405. pdf file .

  30. with C. Sormani The Cut-off Covering Spectrum , Tran. AMS. 362, no. 5 (2010), 2339-2391. pdf file .

  31. with J. Ennis Describing the universal cover of a noncompact limit , Geometry and Topology 14, no. 4(2010), 2479-2496. pdf file .

  32. with J. Case, Y. Shu Rigidity of Quasi-Einstein Metrics, Diff. Geom. and its Applications 29 (2011), 93-100. pdf file .

  33. with I. Adeboye On Volumes of hyperbolic orbifolds, Algebraic and Geometric Topology 12 (2012), 215-233. pdf file .

  34. Volume comparison and its generalizations, Advanced Lecture in Mathematics, Vol. 22 (2012) pp. 311-322. pdf file .

  35. with P. Wu On Volume Growth of Gradient Steady Ricci Solitons, Pacific Journal of Math 265 (2013), 233-241. pdf file .

  36. with I. Adeboye On volumes of complex hyperbolic orbifolds,  Michigan Math. Journal 63, Issue 2 (2014), 355-369.  pdf file .

  37. with C. Sormani Various Covering Spectra for Complete Metric Spaces,  Asian Journal of Math. 19, No. 1 (2015), 171-202. pdf file .

  38. with B. Song, G. Wu Monotonicity Formulas for Bakry-Emery Ricci Curvature, J. Geom. Analysis 25 (2015), no.4, 2716-2735. pdf file .

  39. with S. Seto, First eigenvalue of the p-Laplacian under integral curvature condition,  Nonlinear Anal. 163 (2017), 60–70. pdf file 

  40. with X. Dai, Z. Zhang, Local Sobolev Constant Estimate for Integral Ricci Curvature Bounds, Advances in Mathematics 325 (2018), 1-33.  pdf file .

  41. with X. Dai, Z. Zhang,  Neumann Isoperimetric Constant Estimate  for Convex Domains,  Proc. AMS 146 (2018), no. 8, 3509-3514.  pdf file.

  42. with A. Mondino,  On the universal cover and the fundamental group of an $RCD^*(K,N)$-space,   Journal für die reine und angewandte Mathematik 753 (2019) 211-237.  pdf file .

  43. with H. Chen,  Reilly-type inequalities for p-Laplacian on submanifolds in space forms,  Nonlinear Analysis 184 (2019), 210-217. pdf file DOI link .

  44. with S. Seto, L. Wang, Sharp Fundamental Gap Estimate on Convex Domains of Sphere,   Journal of Diff. Geom. 112 (2019), no. 2, 347-389.  pdf file .

  45. with L. Wang, Local Sobolev constant estimate for integral Bakry-Emery Ricci curvature,  Pacific Journal of Math. 300 (2019), no.1, 233-256.  pdf file .

  46. with X. Dai, S. Seto,  Fundamental Gap Comparison,  Surveys in Geometric Analysis 2018, pp 1-16, Science Press Beijing, Beijing, 2019. ISBN: 9787030611123. pdf file.

  47. with Chenxu He,  Fundamental Gap of Convex Domains in the Spheres (with Appendix B by Qi S. Zhang),  Amer. Journal of Math. 142 (2020), no. 4, 1161-1192.   pdf file .

  48. with X. Ramos, S. Seto, Q.S. Zhang,  Zhong-Yang Type Eigenvalue Estimate with Integral Curvature Condition,  Mathematische Zeitschrift 296, Issue 1 (2020) , Page 595 pdf fileDOI link published version for view

  49. with I. Adeboye, M. Wang,  On the volume of orbifold quotients of symmetric spaces,  Differential Geometry and its Applications 71 (2020) 101639 DOI link

  50. with H. Chen,  Rigidity of minimal submanifolds in space forms,  Journal of Geometric Analysis 31 (2021), no. 5, Page 4923 - 4933 pdf file. DOI link

  51. with E. Chen, R. Ye, Ricci flow and a sphere theorem for L^n/2 pinched Yamabe metrics,  Advances in Mathematics 393 (2021), Paper No. 108054. DOI link pdf file.

  52. with C. Connell, X. Dai, J. Nunez-Zimbron, R. Perales, P. Serrato, Maximal volume entropy rigidity for RCD^*(-(N-1),N) spaces,  Journal of the London Mathematical Society 104 (2021), Pages 1615-1681. pdf file. DOI link

  53. with X. Dai, S. Seto,  Fundamental gap estimate for convex domains on sphere -- the case n=2,  Comm. in Analysis and Geometry 29, No. 5 (2021), pp. 1095-1125. pdf file.

  54. with J. Pan,  Universal covers of Ricci limit and RCD spaces,  Differential Geometry in the Large, 352-372, London Math. Soc. Lecture Note Ser., 463, Cambridge Univ. Press, Cambridge, 2021 pdf file. DOI link

  55. with T. Bourni, J. Clutterbuck, X. H. Nguyen, A. Stancu, and V. Wheeler, Explicit fundamental gap estimates for some convex domains in H^2,  Math Research Letter 28, Number 5 (2021), 1319-1336. pdf file.

  56. with L. Chen, Relative volume comparison for integral Ricci curvature and some applications,  Journal of Geometric Analysis 32, no. 1 (2022) Paper No. 2, 17pp. pdf file.

  57. with S. Seto, X. Zhu, Fundamental gaps of spherical triangles,  Annals of Global Analysis and Geometry 61 (2022), no. 1, 1 -19. DOI link pdf file.

  58. with T. Bourni, J. Clutterbuck, X. H. Nguyen, A. Stancu, and V. Wheeler, Ancient solutions for flow by powers of the curvature in R^2,  Calculus of Variations and Partial Differential Equations 61 (2022), no. 2, Paper No. 44 pdf file.

  59. With J. Pan, Examples of Ricci limit spaces with non-integer Hausdorff dimension, Geometric and Functional Analysis 32 (2022), no. 3, 676-685. pdf file.

  60. with T. Bourni, J. Clutterbuck, X. H. Nguyen, A. Stancu, and V. Wheeler, The vanishing of the fundamental gap of convex domains in H^n,  Annales Henri Poincare 23 (2022), no. 2, 595-614. pdf file.

  61. with J. Pan,  Semi-local simple connectedness of non-collapsing Ricci limit spaces,  Journal of the European Mathematical Society 24 (2022), no. 12, 4027-4062. pdf file.

  62. with X. H. Nguyen, A. Stancu, The fundamental gap of horoconvex domains in H^n,  International Mathematics Research Notices IMRN 2022, no. 20, 16035-16045. pdf file.

  63. with C. Rose, Eigenvalue estimates for Kato-type Ricci curvature conditions,  Analysis & PDE 15 (2022), no. 7, 1703-1724. pdf file.

  64. with X. Ramos Oliv\'e, C. Rose, L. Wang  Integral Ricci curvature and the mass gap of Dirichlet Laplacians on domains, Mathematische Nachrichten 296 (2023), no. 8, 3559–3578. DOI link pdf file.

  65. with X. Dai, S. Honda and J. Pan, Singular Weyl's law with Ricci curvature bounded below,  Trans. Amer. Math. Soc. Ser. B 10 (2023), 1212–1253. pdf file.

  66. with J. Pan, Examples of open manifolds with positive Ricci curvature and non-proper Busemann functions,  arXiv:2203.15211 pdf file.