On the Dirichlet-to-Neumann operator for the Connection Laplacian
Ravil Gabdurakhmanov · arXiv (Cornell University) · 2021
We study the relationship between the symbol of the Dirichlet-to-Neumann operator associated with a connection Laplacian, and the geometry on and near the boundary. As a consequence, we show that the geometric data on the boundary, and when the dimension of the base is greater than two all corresponding normal derivatives, are determined by the symbol.