التفاصيل البيبلوغرافية
| العنوان: |
The anisotropic Calderón problem on 3-dimensional conformally Stäckel manifolds. |
| المؤلفون: |
Daudé, Thierry, Kamran, Niky, Nicoleau, François |
| المصدر: |
Journal of Spectral Theory; 2021, Vol. 11 Issue 4, p1669-1726, 58p |
| مصطلحات موضوعية: |
RIEMANNIAN geometry, MANIFOLDS (Mathematics), DIRICHLET forms, INVARIANTS (Mathematics), ANGULAR momentum rules |
| مستخلص: |
Conformally Stäckelmanifolds can be characterized as the class of n-dimensional pseudo-Riemannian manifolds (M, G) on which the Hamilton--Jacobi equation G(Vu, Vu) = 0 for null geodesics and the Laplace equation -- ΔG φ = 0 are solvable by R-separation of variables. In the particular case in which the metric has Riemannian signature, they provide explicit examples ofmetrics admitting a set of n-1 commuting conformal symmetry operators for the Laplace-Beltrami operator ΔG. In this paper, we solve the anisotropic Calderón problem on compact 3-dimensional Riemannian manifolds with boundary which are conformally Stäckel, that is we show that the metric of such manifolds is uniquely determined by the Dirichlet-to-Neumann map measured on the boundary of the manifold, up to diffeomorphims that preserve the boundary. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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