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 Lp-solutions of a large class of differential inequalities. Further applications of the technique are also given.

Pigola, S., Rigoli, M., Setti, A. (2007). Some characterizations of space-forms. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 359(4), 1817-1828 [10.1090/S0002-9947-06-04091-8].

Some characterizations of space-forms

Pigola, S
;
2007

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 Lp-solutions of a large class of differential inequalities. Further applications of the technique are also given.
Articolo in rivista - Articolo scientifico
Space forms, vanishing theorems, isolation phenomena
English
2007
359
4
1817
1828
reserved
Pigola, S., Rigoli, M., Setti, A. (2007). Some characterizations of space-forms. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 359(4), 1817-1828 [10.1090/S0002-9947-06-04091-8].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/270926
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