Some characterizations of space-forms
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- by Stefano Pigola, Marco Rigoli and Alberto G. Setti PDF
- Trans. Amer. Math. Soc. 359 (2007), 1817-1828 Request permission
Erratum: Trans. Amer. Math. Soc. 360 (2008), 3943-3944.
Abstract:
Integral conditions on the traceless Ricci tensor are used to characterize Euclidean and hyperbolic spaces among complete, locally conformally flat manifolds of constant scalar curvature. The main tools are vanishing-type results for $L^{p}$-solutions of a large class of differential inequalities. Further applications of the technique are also given.References
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Additional Information
- Stefano Pigola
- Affiliation: Dipartimento di Fisica e Matematica, Università dell’Insubria - Como, via Valleggio 11, I-22100 Como, Italy
- MR Author ID: 701188
- Email: stefano.pigola@uninsubria.it
- Marco Rigoli
- Affiliation: Dipartimento di Matematica, Università di Milano, via Saldini 50, I-20133 Milano, Italy
- MR Author ID: 148315
- Email: rigoli@mat.unimi.it
- Alberto G. Setti
- Affiliation: Dipartimento di Fisica e Matematica, Università dell’Insubria - Como, via Valleggio 11, I-22100 Como, Italy
- MR Author ID: 289546
- Email: alberto.setti@uninsubria.it
- Received by editor(s): January 29, 2005
- Published electronically: November 3, 2006
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 359 (2007), 1817-1828
- MSC (2000): Primary 53C21; Secondary 35J60, 35B05
- DOI: https://doi.org/10.1090/S0002-9947-06-04091-8
- MathSciNet review: 2272150
Dedicated: Dedicated to the memory of Franca Burrone Rigoli