Relative volume comparison with integral curvature bounds

Geometric and Functional Analysis

Volumn 7, Issue 6, 1997, Pages 1031-1045

  Petersen, Peter ^a   Wei, Guofang ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031283631     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000390050036     Document Type: Article

References (7)

1. M.T. ANDERSON, Convergence and rigidity of manifolds under Ricci curvature bounds, Invt. Math. 102 (1990), 429-445.
2. n/2 curvature bounded, GAFA 1 (1991), 231-251.
3. R. BROOKS, P. PERRY, P. PETERSEN, Spectral geometry in dimension 3, Acta Math. 173 (1994), 283-305.
4. S. GALLOT, Isoperimetric inequalities based on integral norms of Ricci curvature, Astérisque 157-158 (1988), 191-216.
5. P. PETERSEN, Convergence theorems in Riemannian geometry, in "Comparison Geometry" (K. Grove, P. Petersen, eds.), MSRI Publications vol. 30 (1997), Cambridge Univ. Press, 167-202.
6. P. PETERSEN, S. SHTEINGOLD, G. WEI, Comparison geometry with integral curvature bounds, in this issue.
7. D. YANG, Convergence of Riemannian manifolds with integral bounds on curvature I, Ann. Sci. Écol. Norm. Sup. 25 (1992), 77-105.