The elastic Dirichlet-to-Neumann map determines the real-analytic metric up to isometry, and its heat trace expansion gives explicit spectral invariants such as boundary volume and total mean curvature.
Avramidi, Non-Laplace type operators on manifolds with boundary , Analysis, geometry and topology of elliptic operators, W orld Sci
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds
The elastic Dirichlet-to-Neumann map determines the real-analytic metric up to isometry, and its heat trace expansion gives explicit spectral invariants such as boundary volume and total mean curvature.