Isospectral Flat 3-Manifolds
R. R. Isangulov
Abstract
R. R. Isangulov
Abstract
There is a well-known problem about isospectrality of Riemannian manifolds: whether isospectral manifolds are isometric. In this work we give an answer to this problem for compact flat 3-manifolds. 1
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There is a well-known problem about isospectrality of Riemannian manifolds: whether isospectral manifolds are isometric. In this work we give an answer to this problem for compact flat 3-manifolds. 1
Key concepts: Isospectral, Mathematics, Pure mathematics, Ricci-flat manifold, Riemannian geometry, Mathematical analysis, Geometry, Scalar curvature