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The gluing formula, conformal scaling, and geometry
Annals of Global Analysis and Geometry  (IF0.846),  Pub Date : 2021-03-15, DOI: 10.1007/s10455-021-09763-8
Klaus Kirsten, Yoonweon Lee

We exploit conformal transformations of gluing formulas to realize connections between zeta functions of Laplacians and associated Dirichlet-to-Neumann map zeta functions. Furthermore, the geometric content in gluing formulas is identified and explicit results are given for a three-dimensional manifold.