Manifolds of positive Ricci curvature with almost maximal volume
HTML articles powered by AMS MathViewer
- by G. Perelman
- J. Amer. Math. Soc. 7 (1994), 299-305
- DOI: https://doi.org/10.1090/S0894-0347-1994-1231690-7
- PDF | Request permission
References
- Michael T. Anderson, Metrics of positive Ricci curvature with large diameter, Manuscripta Math. 68 (1990), no. 4, 405–415. MR 1068264, DOI 10.1007/BF02568774
- Uwe Abresch and Detlef Gromoll, On complete manifolds with nonnegative Ricci curvature, J. Amer. Math. Soc. 3 (1990), no. 2, 355–374. MR 1030656, DOI 10.1090/S0894-0347-1990-1030656-6
- Shiu Yuen Cheng, Eigenvalue comparison theorems and its geometric applications, Math. Z. 143 (1975), no. 3, 289–297. MR 378001, DOI 10.1007/BF01214381
- J.-H. Eschenburg, Diameter, volume, and topology for positive Ricci curvature, J. Differential Geom. 33 (1991), no. 3, 743–747. MR 1100210
- Michael Hartley Freedman, The topology of four-dimensional manifolds, J. Differential Geometry 17 (1982), no. 3, 357–453. MR 679066
- Karsten Grove and Peter Petersen V, A pinching theorem for homotopy spheres, J. Amer. Math. Soc. 3 (1990), no. 3, 671–677. MR 1049696, DOI 10.1090/S0894-0347-1990-1049696-6
- Richard S. Hamilton, Three-manifolds with positive Ricci curvature, J. Differential Geometry 17 (1982), no. 2, 255–306. MR 664497
- Yukio Otsu, On manifolds of positive Ricci curvature with large diameter, Math. Z. 206 (1991), no. 2, 255–264. MR 1091941, DOI 10.1007/BF02571341
- Peter Petersen V, A finiteness theorem for metric spaces, J. Differential Geom. 31 (1990), no. 2, 387–395. MR 1037407
- Stephen Smale, Generalized Poincaré’s conjecture in dimensions greater than four, Ann. of Math. (2) 74 (1961), 391–406. MR 137124, DOI 10.2307/1970239
Bibliographic Information
- © Copyright 1994 American Mathematical Society
- Journal: J. Amer. Math. Soc. 7 (1994), 299-305
- MSC: Primary 53C21; Secondary 53C23
- DOI: https://doi.org/10.1090/S0894-0347-1994-1231690-7
- MathSciNet review: 1231690