Abstract
Let ( M , g ) (M,g) and ( M ′ , g ′ ) (M’,g’) be compact orientable Riemannian manifolds with the same spectrum of the Laplacian for 1 1 -forms. We prove that, for dim M = 2 , 3 , 16 , 17 , ⋯ , 93 , ( M , g ) \dim M = 2,3,16,17, \cdots ,93,(M,g) is of constant curvature if and only if ( M ′ , g ′ ) (M’,g’) is so.
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