Analysis and geometry on manifolds with integral Ricci curvature bounds. II
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- by Peter Petersen and Guofang Wei PDF
- Trans. Amer. Math. Soc. 353 (2001), 457-478 Request permission
Abstract:
We extend several geometrical results for manifolds with lower Ricci curvature bounds to situations where one has integral lower bounds. In particular we generalize Colding’s volume convergence results and extend the Cheeger-Colding splitting theorem.References
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Additional Information
- Peter Petersen
- Affiliation: Department of Mathematics, University of California, Los Angeles, California 90095
- Email: petersen@math.ucla.edu
- Guofang Wei
- Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
- MR Author ID: 252129
- Email: wei@math.ucsb.edu
- Received by editor(s): November 30, 1998
- Received by editor(s) in revised form: July 30, 1999
- Published electronically: September 21, 2000
- Additional Notes: Both authors were supported by the NSF
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 353 (2001), 457-478
- MSC (2000): Primary 53C20
- DOI: https://doi.org/10.1090/S0002-9947-00-02621-0
- MathSciNet review: 1709777