On the Dirichlet-to-Neumann operator for the Connection Laplacian

Published 26 Dec 2021 in math.DG and math.AP | (2112.13466v1)

Abstract: 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.

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Authors (1)

Ravil Gabdurakhmanov

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