Publications of Guofang Wei


  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 A. Mondino,  On the universal cover and the fundamental group of an $RCD^*(K,N)$-space,  Journal für die reine und angewandte Mathematik (2016).  pdf file .
  40. with S. Seto, First eigenvalue of the p-Laplacian under integral curvature condition,  Nonlinear Anal. 163 (2017), 60–70. pdf file 
  41. with X. Dai, Z. Zhang, Local Sobolev Constant Estimate for Integral Ricci Curvature Bounds, Advances in Mathematics 325 (2018), 1-33.  pdf file .
  42. with X. Dai, Z. Zhang,  Neumann Isoperimetric Constant Estimate  for Convex Domains,  to appear in Proc. AMS  pdf file.
  43. with S. Seto, L. Wang, Sharp Fundamental Gap Estimate on Convex Domains of Sphere,  to appear in Journal of Diff. Geom. pdf file .
  44. with Chenxu He,  Fundamental Gap of Convex Domains in the Spheres (with Appendix B by Qi S. Zhang),  to appear in Amer. Journal of Math.   pdf file .

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