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Some characterizations of space-forms |
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| Authors: | Stefano Pigola Marco Rigoli Alberto G. Setti |
| Affiliation: | Dipartimento di Fisica e Matematica, Università dell'Insubria - Como, via Valleggio 11, I-22100 Como, Italy ; Dipartimento di Matematica, Università di Milano, via Saldini 50, I-20133 Milano, Italy ; Dipartimento di Fisica e Matematica, Università dell'Insubria - Como, via Valleggio 11, I-22100 Como, Italy |
| 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  -solutions of a large class of differential inequalities. Further applications of the technique are also given. |
| Keywords: | Space forms vanishing theorems isolation phenomena |
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